Write an equation in standard form of the line that passes through (7, -3) and has a y-intercept of 2. standard form = ax + by = c

The equation in standard form is -5x  - 7y = -14

The slope intercept form is as follows:

y = mx + b

where

m = slope

b = y-intercept

Therefore,

b = 2

y = mx + 2

y = m(0) + 2

y = 2

(0, 2)

let's find the slope using the 2 coordinates

(0, 2)(7, -3)

m = -3 - (2) / 7 -0 = - 5 / 7

y = -5 / 7 x + 2

multiply through by 7

7y = -5x + 14

In standard form it will be as follows:

-5x  - 7y = -14

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The slope-intercept form:

m - slope

b - y-intercept

We have the point (7, -3) and y-intercept = 2. Therefore we have:

Substitute the coordinates of the point to the equation of line:

         subtract 2 from both sides

     divide both sides by 7

Therefore we have:

     multiply both sides by 7

        add 5x to both sides

c

-by-step explanation:

it would be c