If a line passes through the points (-5,-4) and (3,-1), the equation of the line is?

y = x -

the equation of a line in slope- intercept form is

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 ) = (- 5, - 4 ) and (x₂, y₂ ) = (3 , - 1 )

m = =

the partial equation is y = x + c

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

using (3, - 1 ), then

- 1 = + c ⇒ c = -

y = x - ← in slope-intercept form