Question

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

Answer 1

Answer:

y = 3x - 3

Step-by-step 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:

$y=3x-3$