Question

Write an equation in slope-intercept form of the line through point P(10, –9) with slope 3.

Answer 1

y = 3x - 39

Explanation:

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

`y=mx+b`

m - slope

b - y-intercept

We have the slope m = 3 and the point P(10, -9).

Pu the value of slope and the coordinates of the point (x = 10, y = -9) to the equation of a line:

`-9=3(10)+b`

`-9=30+b` subtract 30 from both sides

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

Finally:

`y=3x-39`