Which of the following is the slope-intercept form of the equation 4𝑥+5𝑦=20?

Question

𝑦 = 4𝑥/5 − 4

y = −4𝑥/5 − 4

𝑦 = −4𝑥/5 + 4

y = 4x/5 + 4

Answer 1

Slope-intercept form is:

y=mx+b.

Where m = slope or rise/run & b = y-intercept or where the line crosses the y axis.

So for 4x + 5y = 20 the slope intercept form is y = -4x/5 + 4.

To get this answer you must solve for y.

4x + 5y = 20

-4x -4x

5y = -4x + 20

5 5 5

y = -4x/5 + 4

Answer 2

4x + 5y = 20

to get into slope intercept form you must solve for y

4x + 5y = 20

4x - 4x + 5y = 20 - 4x

5y = 20 - 4x

y = 4 - 4/5x (divide both sides by 5)

y = -4/5x + 4 (re-arrange terms)