Question

Write an equation of the line passing through the points (3,3) and (-2, -17).

The equation of the line is

Answer 1

Y = 4 X - 9

Explanation:

Let (3,3) be ( x 1, y 1 ) and ( -2, -17 ) be ( x 2, y 2)

Finding the slope of the line;

Slope = y 2 - y 1

x 2 - x 1

Slope = -17 - 3 = -20 = 4

-2 - 3 -5

Slope = 4

Making an equation;

Slope = Y - y 1

X - x 1

4 = Y - 3

X - 3

Then, you cross multiply;

4 ( X - 3 ) = Y - 3

4 X - 12 = Y - 3

Y = 4 X - 12 + 3

Y = 4 X - 9