HOUSTON >> Justin Verlander remained perfect with the Houston Astros when they couldn’t afford anything else.

The ace right-hander pitched seven shutout innings and Jose Altuve homered and drove in three runs during a 7-1 victory over the New York Yankees tonight that extended the AL Championship Series to a decisive Game 7.

“He’s been everything that we could have hoped for and more,” Astros manager A.J. Hinch said about Verlander. “He chose to come here for games like this and beyond.”

Acquired in an Aug. 31 trade, Verlander has won all nine of his outings for the Astros — including three starts and his first career relief appearance during the postseason. With his new club facing playoff elimination for the first time in Game 6 against the Yankees, he delivered again to tie the series 3-all.

“There’s no point in saving anything,” Verlander said, acknowledging the last two innings took a lot out of him.

Game 7 is Saturday night in Houston, with the winner advancing to the World Series against the NL champion Los Angeles Dodgers.

“It’s going to be a crazy night,” Altuve said. “I know both teams are going to go out there and leave everything they have.”

CC Sabathia is scheduled to start for New York against Charlie Morton in a rematch of Game 3, won 8-1 by the Yankees. The home team has taken every game in the series.

“We’ve been in this situation throughout the year,” New York rookie slugger Aaron Judge said. “We’ve gone down in series. We’ve gone down in games. We’ve always fought back. That’s what we’re going to continue to do.”

George Springer helped the 34-year-old Verlander out of a jam in the seventh, leaping to make a catch at the center-field wall that robbed Todd Frazier of extra bases with two on and the Astros up 3-0.

“I thought homer,” Verlander said. “That was obviously one of the big turning moments in the game.”

When it was over, Verlander had improved to 4-1 with a 1.21 ERA in five career postseason elimination games. He ran his scoreless streak in such games to 24 innings.

“We hope we all get to see him pitch again,” Hinch said.

After striking out 13 for a complete-game victory in Game 2, Verlander threw another gem. The 2011 AL MVP and Cy Young Award winner scattered five hits and struck out eight to improve to 9-0 with a 1.23 ERA and 67 strikeouts since agreeing to a trade from Detroit that was completed only seconds before the midnight deadline for postseason eligibility.

For the Astros, it was Just-in time.

“I literally love Justin Verlander,” Altuve said. “The way he goes out there makes me feel like I have to go out there and play the same way he’s doing it.”

Brian McCann’s RBI ground-rule double in the fifth ended an 0-for-20 slump before Altuve snapped an 0-for-12 skid with a two-run single later in the inning.

Altuve hit his fourth homer of the postseason when he connected on a solo shot off David Robertson in the eighth.

“I love the way we played today,” Altuve said.

Houston improved to 5-0 at home this postseason after dropping three straight in New York as the Astros chase their second trip to the World Series (2005). Saturday will be just their second Game 7 in franchise history after losing the final game of the 2004 NLCS at St. Louis 5-2.

The last Game 7 for the Yankees also was a loss in 2004, when they capped an unprecedented collapse against rival Boston after leading 3-0 in the ALCS.

This year, the Yankees are 4-0 in postseason elimination games as they try to reach the World Series for the first time since 2009. New York is 1-5 on the road in these playoffs, however.

“I think you have to keep tonight’s game in perspective,” manager Joe Girardi said. “We still have a shot to do what we want to try to do tomorrow. And put tonight behind you, move on, and let’s be ready to go tomorrow.”

Judge cut the lead to 3-1 with a homer off Brad Peacock in the eighth. But that came after Judge struck out in two of his first three at-bats to give him 26 strikeouts this postseason, tying him with Alfonso Soriano for the most in one postseason.

Peacock settled down after the homer by Judge, retiring the next two batters, capped by a strikeout of Gary Sanchez to end the inning. Ken Giles finished it off with a scoreless ninth.

Houston led the majors in scoring during the regular season but had struggled in this series, managing just nine runs in the first five games. Alex Bregman, who changed his walk-up music to Tom Petty’s “I Won’t Back Down” on Friday, belted a two-run double in the eighth to make it 6-1, giving the Astros more runs than they’d managed in their last three games.

Bregman grinned when asked if that song was the attitude of his team on Friday.

“Yeah,” he said. “We’re not backing down.”

Verlander knew Houston’s powerful offense would get going sooner or later. He’s just glad it happened before it was too late.

“There was no question these guys were going to break out, it was just a matter of time,” he said. “Thankfully that wasn’t next year.”

Many in the rowdy crowd of 43,179, which included Roger Clemens and former Rockets great Clyde Drexler, held signs and most fans waved orange towels that were handed out at the door. One woman hoisted a sign that read: “Verlander = Victory” and a little boy clutched one that said: “Justin Time” above a crudely drawn clock.

After the Astros got walloped in three games in the Bronx, New York starter Luis Severino kept them off balance early and they didn’t get a hit until a single by Carlos Correa with two outs in the fourth. Bregman walked to start Houston’s fifth before a one-out walk to Evan Gattis. McCann got his first hit of the series with his ground-rule double that made it 1-0 after Houston had gone 15 straight innings without scoring.

Severino walked Springer to load the bases before retiring Josh Reddick. Altuve then sent the first pitch of his at-bat sailing just inches over the glove of Frazier at third base and into left field to make it 3-0 and chase Severino.

Altuve raised his arms and implored the crowd to get louder as he reached first base, finally breaking out of a rare slump with his first hit since Game 2 of this series. The major league batting champion had failed to get a hit in three straight games just one other time this season. Altuve is 15 for 37 with seven RBIs and six multi-hit games this postseason.

Verlander walked Greg Bird to start the seventh before plunking Starlin Castro on a pitch that Girardi asked to be reviewed. Aaron Hicks fought through a 10-pitch at-bat before striking out. Springer’s catch came next, and Frazier waved his hand in disgust as a jubilant Verlander pumped both arms skyward.

“He hit the ball well and I knew I had to go get it,” Springer said. “I was just able to get to the spot.”

When he got out of the inning by inducing a groundout from Chase Headley, Verlander pounded his glove and screamed.

Severino yielded three hits and three runs while walking four in 4 2/3 innings during his fourth playoff start. He lasted longer than he did in his previous outing, when he was pulled after four innings in New York’s 2-1 loss in Game 2.