Math Gangsta SAT/ACT Practice Problem 22

Question: What is the slope of any line parallel to the line 9x + 4y = 7?

First, I rewrite the equation in slope intercept form so I can clearly see the slope. I subtract 9x from both sides to isolate the y term. That gives me 4y = -9x + 7.

Next, I divide every term by 4 to solve for y. This gives me y = -9/4 x + 7/4.

Now I can see the slope clearly. The slope is -9/4.

Since parallel lines have the same slope, any line parallel to 9x + 4y = 7 will also have a slope of -9/4.

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