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

Answer:

$y=3x-4$

Step-by-step 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 $y=3x-4$.