Find the slope and y intercept in simplest form -7x-4y=-8

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! :)

the answer is -1 for this question

step-by-step explanation: