Question

Find an equation for the line with the given properties. Express your answer using either the general form or the slope -intercept form of the equation of a lines Slope=3; containing the point (2,2)

Answer 1

`y=3x-4`

Explanation:

We have been given that the slope of line is 3 and point (2,2) is on the line. We are asked to write the equation of the line passing through the given point in slope-intercept form.

The slope-intercept form of equation is in form
`y=mx+b`, where,

m = slope of line.

b = The y-intercept.

Upon substituting our given slope and coordinates of given point in slope-intercept form, we will get:

`2=3(2)+b`

`2=6+b`

`2-6=6-6+b`

`-4=b`

Now, we will substitute
`m=3` and
`b=-4` in slope-intercept form as:

`y=3x+(-4)`

`y=3x-4`

Therefore, our required equation would be
`y=3x-4`.