Question

(3, -5)(0, 4)
Write the equation of a line using the point slope formula

Answer 1

y = - 3x + 4

Explanation:

The equation of a line in slope- intercept form is

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

Calculate m using the slope formula

m =
`(y_(2)-y_(1) )/(x_(2)-x_(1) )`

with (x₁, y₁ ) = (3, - 5) and (x₂, y₂ ) = (0, 4)

m =
`(4-(-5))/(0-3)` =
`(4+5)/(-3)` =
`(9)/(-3)` = - 3

The line crosses the y- axis at (0, 4) ⇒ c = 4

y = - 3x + 4 ← equation of line