Question

What’s the standard form of the line that passes through (7,-3) and has a y-intercept of 2?

Answer 1

Explanation:

(y-y)=m(x-x)

(y--3)=2(x-7)

y+3=2x-14

y+3+14=2x

Answer 2

First, let's solve in slope-intercept form since it's easier. After that, we can turn it into standard form.

Recall the format of slope-intercept form: y = mx + b

We know that the y-intercept is 2, so we can input it into our equation ('b' represents the y-intercept!)

y = mx + 2
In order to solve for the slope, input the coordinates (7, -3)

-3 = 7m + 2
-5 = 7m
m = -5/7

y = -5x/7+ 2
In order to turn it into standard form, just make sure 'x' and 'y' are on the same side:

y + 5x/7 = 2 is the standard form of the line

-T.B.