What is an equation of the line that passes through the (-6,8) (3,-4)

Answer 1

Two points given, use two-point form:

(y - 8) / (x + 6) = (-4 - 8) / (3 + 6)

Answer 2

Hi Aida,

Yu did not specify a form for the equation, so I'll use Slope-Intercept, which is:

y = mx + b

m = slope

x= x-coordinate

y ₌ y-coordinate

b= y-intercept

Now, to get slope, compute:

m = (y₂ - y₁) / (x₂ - x₁)

These are your two ordered pairs.

x₁ = -6

x₂ = 3

y₁ = 8

y₂ = -4

m = (-4-8) / (3- -6)

m = -12/9 = -4/3

Now, plug either pair and your slope back into initial y= mx + b equation and solve for b. I'll use (3, -4):

-4 = -4/3(3) + b

-4 = -4 + b

b = 0

y = -4/3x

I hope this helps.