Question

Write the linear equations in slope-intercept form with a slope of 5 and point (2, -20)

Answer 1

We conclude that the linear equation in slope-intercept form with a slope of 5 and point (2, -20) is:

• y = 5x - 30

Explanation:

The slope-intercept form of the line equation

`y = mx+b`

where

• m is the slope

• b is the y-intercept

Given

The slope m = 5

The point (2, -20)

now substitute (x, y) = (2, -20) and m = 5 in the slope-intercept form of the line equation

y = mx+b

-20 = 5(2) + b

10 + b = -20

subtracting 10 from both sides

10 + b - 10 = -20 - 10

b = -30

Thus, the y-intercept b = -30

so substituting b = -30 and m = 5 in the slope-intercept form of the line equation

y = mx+b

y = 5x + (-30)

y = 5x - 30

Therefore, the linear equation in slope-intercept form with a slope of 5 and point (2, -20) is:

• y = 5x - 30