Answer:
see explanation
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
(1)
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (0, - 5) and (x₂, y₂ ) = (3, - 1) ← 2 points on the line
m = [tex]\frac{-1+5}{3-0}[/tex] = [tex]\frac{4}{3}[/tex]
Note the line crosses the y- axis at (0, - 5) ⇒ c = - 5
y = [tex]\frac{4}{3}[/tex] x - 5 ← equation in slope- intercept form
---------------------------------------------------------------------------------
(2)
using the slope formula
with (x₁, y₁ ) = (- 5, 4) and (x₂, y₂ ) = (1, - 2) ← 2 points on the line
m = [tex]\frac{-2-4}{1+5}[/tex] = [tex]\frac{-6}{6}[/tex] = - 1
Note the line crosses the y- axis at (0, - 1) ⇒ c = - 1
y = - x - 1 ← equation in slope- intercept form
