Question

Write a slope-intercept equation for a line that passes through (-3,4) and (2, - 11).

Answer 1

Answer:

Step-by-step explanation:

(x₁, y₁) = (-3 , 4)  and (x₂,y₂) = (2, -11)

$Slope = \dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}$

         $=\dfrac{-11-4}{2-[-3]}\\\\=\dfrac{-15}{2+3}\\\\=\dfrac{-15}{5}\\\\=-3$

Equation of the line: y =mx +b

y = -3x + b

Plugin x = -3 and y =4 in the above equation,

4 = -3*(-3) + b

4 = 9 + b

4  -9 = b

b = -5

Equation : y = -3x - 5