## What is an equation of a line, in point-slope form, that passes through (1, −7) and has a slope of −2/3 ? (: A. y+7=2/3(x+1) B. y+7=−2/3(x−1) C. y−7=−2/3(x+1) D. y−7=2/3(x−1)

October 11, 2019// Blog//

Slope-intercept form is the form:

y = mx + b

where y and x are the coordinates, m is the slope, and b being the y-intercept.

We know the formula, so we just have to rearrange into slope-intercept form.

We want y on one side like the original form has it…

10x – 7y = -8 (add 7y to both sides)

10x = -8 + 7y (add 8 to both sides)

10x + 8 = 7y

We got y in one side, but we want it simplified. We don’t want a number in front of y, so we will divide y by 7 to get rid of it.

What is done in side is done to the other.

10x + 8 = 7y

(10x + 8) ÷ 7 = y

That is it. There is nothing more that can simplify the slope-intercept equation. Good luck!