Answer:
y = - [tex]\frac{7}{5}[/tex] x + 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 )
to calculate m use the gradient formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (- 10, 17) and (x₂, y₂ ) = (5, - 4)
m = [tex]\frac{-4-17}{5+10}[/tex] = [tex]\frac{-21}{15}[/tex] = - [tex]\frac{7}{5}[/tex]
y = - [tex]\frac{7}{5}[/tex] x + c ← is the partial equation
to find c substitute either of the 2 points into the partial equation
using (5, - 4), then
- 4 = - 7 + c ⇒ c = - 4 + 7 = 3
y = - [tex]\frac{7}{5}[/tex] x + 3 ← in slope-intercept form
