Question

Write an equation of the line that passes through the point (8, 1) with slope 5.

Answer 1

y = 5x - 39

Explanation:

The slope-intercept form of an equation of a line:

`y=mx+b`

m - slope

b - y-intercept

Put the value of slope m = 5 and the coordinates of the given point (8, 1) to the equation of a line:

`1=(5)(8)+b`

`1=40+b` subtract 40 from both sides

`-39=b\to b=-39`

Finally:

`y=5x-39`