Question

Choose the equation below that represents the line passing through the point (−3, −1) with a slope of 4. Group of answer choicesy = 4x − 11y = 4x + 11y = 4x + 7y = 4x – 7

Answer 1

Given:

Point (-3,-1)

slope m=4.

The slope intercpet form of the equation is,

`y=mx+b`

since we know that m=4 subsitute in the above equation.

`y=4x+b`

Now, let us subsitute the point in the above equation to find the value of b.

`\begin{gathered} -1=4(-3)+b \\ -1=-12+b \\ -1+12=b \\ b=11 \end{gathered}`

now we have both slope m= 4 and y-intercept b=11,

`y=4x+11`

The answer is y = 4x + 11.