Write the slope-intercept form of the equation of the line through the given points. HINT: You need to find the SLOPE and Y INTERCEPT. Show Work Please

Question

Through: (5, -5) and (-5, -4)

Answer 1

So we need to find the slope first:

m = (y₂ - y₁) / (x₂ - x₁)

m = (-4 - (-5)) / (-5 - 5)

m = (-4 + 5) / -10

m = -¹/₁₀

 

There are a couple of ways to solve the next step. I happen to prefer the point-slope formula:

y - y₁ = m(x - x₁)

y - (-5) = -¹/₁₀ (x - 5)

y + 5 = -¹/₁₀ x + ¹/₂

y = -¹/₁₀ x - 4 ¹/₂