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

Step-by-step explanation:

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

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

y+3=2x-14

y+3+14=2x