Question

Write an equation of the line that passes through the point (2,3) with slope 3.

Answer 1

y = 3x - 3

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 (2, 3).

Put the value of slope and the coordinates of the given pint (x = 2, y = 3) to the equation of a line:

`3=3(2)+b`

`3=6+b` subtract 3 from both sides

`-3=b\to b=-3`

Finally:

`y=3x-3`