Write the equation of the line that passes through (−2, 6) and (2, 14) in slope-intercept form.

Question

I m bad at math, i am doing this practice worksheet and i am stuck on this question .

Answer 1

You can use the two-point form:

 

(y - y₁) / (x - x₁) = (y₁ - y₂) / (x₁- x₂)

(y - 6) / (x - (-2)) = (6 - 14) / (-2 -2)     substitute

(y - 6) / (x + 2) = (-8) / (-4)                 combine like terms

-4(y - 6) = -8(x + 2)                             multiply both sides by -4 and x + 2

-4y + 24 = -8x - 16                              distribute

-4y = -8x - 40                                      subtract 24 from both sides

y = 2x + 10                                         divide both sides by -4