Answer:
y = 5x + 3
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 ) = (- 1, - 2 ) and (x₂, y₂ ) = (4, 23 )
m = [tex]\frac{23-(-2)}{4-(-1)} [/tex] = [tex]\frac{23+2}{4+1} [/tex] = [tex]\frac{25}{5} [/tex] = 5 , then
y = 5x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (4, 23 ) , then
23 = 20 + c ⇒ c = 23 - 20 = 3
y = 5x + 3 ← equation of line
