What is the equation of the line in standard form?

3x + 5y = 1

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 )

Obtain the equation in slope- intercept form

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

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (- 3, 2) and (x₂, y₂ ) = (2, - 1) ← 2 points on the line

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (2, - 1), then

- 1 = - + c ⇒ c = - 1 + =

y = - x + ← in slope-intercept form

multiply all terms by 5

5y = - 3x + 1 ( add 3x to both sides )

3x + 5y = 1 ← in standard form

justin bieber ml.