Question

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

Answer 1

Explanation:

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

`Slope = (y_(2)-y_(1))/(x_(2)-x_(1))`

`=(-11-4)/(2-[-3])\\\\=(-15)/(2+3)\\\\=(-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