Find the slope of the line that goes through: (-1, -12) and (9, 68)

Answer 1

M = (68 - -12)/(9 - -1)

= 80/10 = 8

B = y - mx = 68 - 8*9 = 68 - 72 = -4

y = 8x-4

Answer 2

To find the slope of a line given two points, we need to know the slope formula.

M=( y₂ - y₁ / x₂ - x₁ )

Answer 3

We can uniquely determine a line given two different points in space. For any two points (x₁, y₁) and (x₂, y₂), the slope if given by (y₂-y₁)/(x₂-x₁) if x₁ not equal to x₂. (If they are equal, then the line is a vertical line)

In this case, x1 = -1, y1 = -12, x2 =9, and y2=68. Then the slope is

(68-(-12))/(9-(-1))=8