Help. Use two points on the line to find the equation of the line in, standard form

3x - 4y = - 12

Step-by-step explanation:

The equation of a line in standard form is

Ax + By = C ( A is a positive integer and B, C are integers )

Calculate the equation in slope- intercept form

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m =

with (x₁, y₁ ) = (- 4, 0) and (x₂, y₂ ) = (0, 3) ← 2 points on the line

m = =

The line crosses the y- axis at (0, 3) ⇒ c = 3

y = x + 3 ← in slope- intercept form

Multiply through by 4

4y = 3x + 12 or

3x + 12 = 4y ( subtract 12 from both sides )

3x = 4y - 12 ( subtract 4y from both sides )

3x - 4y = - 12 ← in standard form

i believe the answer is c.