Question

Which equation is a line that passes through the points (4, 5) and (0, -3)?

Answer 1

y = 2x - 3

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 ) = (4, 5) and (x₂, y₂ ) = (0, - 3)

m =
`(-3-5)/(0-4)` =
`(-8)/(-4)` = 2

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

y = 2x - 3 ← equation of line