Question

Show all work. Write the equation of the line in slope intercept form (-5, -5) & (-1, 3)

Answer 1

y = 2x + 5

Explanation:

(-5 , -5) & (-1 , 3)

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

`=(3-[-5])/(-1-[-5])\\\\=(3+5)/(-1+5)\\\\=(8)/(4)\\\\= 2`

m = 2 & (-5 , -5)

Y -y1 = m(x -x1)

y - [-5] = 2(x - [-5] )

y + 5 = 2 (x + 5)

y+ 5 = 2x + 2*5

y = 2x + 10 - 5

y = 2x + 5