Question

Find the equation of a line that goes through the point (6, 8 ) and is parallel to the line y = - 4x + 23

Answer 1

Answer:

The equation parallel to the given line is:

`y=-4x+32`

Step-by-step explanation:

Given the equation:

`y=-4x+23`

The slope is -4 and y-intercept is 23.

An equation parallel to the given equation must have the same slope but different y-intercept.

Let the equation be:

`y=-4x+b`

To find b, we use the given point that the line passes through, (6, 8).

With x = 6 and y = 8.

Doing that, we have:

`\begin{gathered} 8=-4(6)+b \\ \\ 8=-24+b \\ \\ b=24+8=32 \end{gathered}`

Using the value of b above, we have the parallel equation as:

`y=-4x+32`