Question

A line passes through the point (-3,5) and has a slope of -5 . Write an equation for this line.

Answer 1

Use Point Slope Form:

\[\large y - y_1 = m(x - x_1)\]

Here : \(m = -5, y_1 = 5, x_1 = -3\)

Just plug in the values and solve..

Answer 2

y-5=-5(x+3)

Answer 3

Yep..

Now solve Right hand side more..

Answer 4

Distribute -5 to the brackets..

Answer 5

y-5=-5x+15

Answer 6

y-5=-5x-15

Answer 7

Yep, Good going..

Now add 5 both the sides..

Answer 8

y=-5x-10?

Answer 9

Yep...