What’s the slope for -7x-2y=-2

Question

asked Feb 27, 2024 70.3k views

2 Answers

Scooter · Answer 1 · 2024-03-04T17:14:03+0000

Before finding the slope, I am going to write the given equation in slope-intercept form.

Given equation:

$\sf{-7x-2y=-2}$

Add 7x to both sides:

$\sf{-2y=-2+7x}$

Divide both sides by -2:

$\sf{y=-\cfrac{2}{-2}+\cfrac{7x}{-2}}$

$\sf{y=1-\cfrac{7}{2}x}$

$\sf{y=-\cfrac{7}{2}x+1}$

Now, the number in front of x is our slope. In this case, the number is -7/2. So, our slope is -7/2.