Hey there! :)
-7x - 4y = -8
To find the slope, we must turn this equation into slope-intercept form.
Slope-intercept form is : y=mx+b ; where m=slope, b=y-intercept
To get here, we must isolate y by adding 7x to both sides of our original equation.
-7x + 7x - 4y = 7x - 8
Simplify!
-4y = 7x - 8
Then, divide both sides by -4.
-4y ÷ -4y = (7x - 8) ÷ -4y
Simplify!
y = -7/4x + 2
Congrats, we got y isolated! Now, review the slope-intercept form equation to figure out what our slope & y-intercept are.
After reviewing our slope intercept form equation, we can come to the conclusion that -7/4 is our slope because it's in the "m" value slot, and 2 is our y-intercept because it's in the "b" spot.
So, our answer is :
Slope = -7/4
Y-intercept = 2
Hope this helped! :)