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

You want to use the two points to find both the slope (m) and y-intercept (b)! On this one we have

m = (-4 - -5) / (-5 - 5) = -1/10

y - (-5) = -1/10(x - 5)

y + 5 = -1/10x + 1/2

y = -1/10x - 9/2

I hope that helps you get moving in a better direction on this type of question! Feel free to reach out if you have any additional questions beyond that :)

Answer 2

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