Question

What is the equation of a line that is parallel to y=-2x+5 that goes through the point (-4,1)

Answer 1

Step-by-step explanation:

A line parallel to the given line will have the same slope: -2

The equation of the line has this form:

`y=-2x+b`

To find the y-intercept b we use the point. Replace x = -4 and y = 1 into the expression above and solve for b:

`\begin{gathered} 1=-2(-4)+b \\ 1=8+b \\ b=(1)/(8) \end{gathered}`

Answer:

The equation of the line is:

`y=-2x+(1)/(8)`