Question

Determine the equation of the line that passes through the point (-4, 13) and isparallel to the line y = - 4x + 5.Enter your answer in slope-intercept form.

Answer 1

`y=-4x-3`

Explanation:

A line is parallel to another one when the slopes are equal. Therefore, if linear equations are represented as:

`\begin{gathered} y=mx+b \\ \text{where,} \\ m=\text{slope} \\ b=y-\text{intercept} \end{gathered}`

Then, if the line is parallel to y=-4x+5. It means the slope of the other line would be -4 too.

Given that it passes through the point (-4,13);

`\begin{gathered} 13=-4(-4)+b \\ 13=16+b \\ b=-3 \end{gathered}`

Hence, the equation would be:

`y=-4x-3`