Answer:
y = 3x - 15
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 )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (4, - 3) and (x₂, y₂ ) = (5, 0)
m = [tex]\frac{0+3}{5-4}[/tex] = 3 , thus
y = 3x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (5, 0 ), then
0 = 15 + c ⇒ c = 0 - 15 = - 15
y = 3x - 15 ← equation of line
