Question

What is the equation of the line that has a slope of 5 and passes through the point (2,7)?

Answer 1

`y = 5x - 3`

Explanation:

Given

`Slope, m = 5`

`(x_1,y_1) = (2,7)`

Required

Determine the line equation

Using slope intercept form, the line equation can be calculated using:

`y - y_1 = m(x - x_1)`

Substitute values for m, x1 and y1. The equation becomes

`y - 7=5(x - 2)`

Open Bracket

`y-7 = 5x - 10`

Add 7 to both sides

`y-7+7 = 5x - 10+7`

`y = 5x - 3`

Hence, the line equation is:
`y = 5x - 3`