Question

What is the slope intercept form of (-3,-4) and slope is 2

Answer 1

`y=2x+2`

Step-by-step explanation:

Recall that the slope-intercept form of the equation of a line is generally given as;

`y=mx+b`

where m = slope of the line

b = y-intercept of the line

Given the slope(m) of the line as 2, let's go ahead and determine the y-intercept(b) of the line using the point (-3, -4) where x = -3 and y = -4 as seen below;

`\begin{gathered} -4=2(-3)+b \\ -4=-6+b \\ -4+6=b \\ 2=b \\ b=2 \end{gathered}`

Since b = 2 and m = 2, we can now go ahead and write the equation of the line in slope-intercept form as;

`y=2x+2`