Question

6) Write an equation of the line parallel to: y = -1/4x + 8 with a y-intercept of -10.

Answer 1

The given equation is

`y=-(1)/(4)x+8`

The y-intercept of the new line is -10.

We have to find a new parallel line to the given equation, which means they must have the same slope.

Remember that the coefficient of x is the slope, so the slope of the given line is -1/4. This means the new line has a slope fo -1/4 because it's parallel.

So, we know that the new line has a slope of -1/4 and its y-intercept is -10. We use the slope-intercept form to write the equation.

`\begin{gathered} y=mx+b \\ y=-(1)/(4)x-10 \end{gathered}`

Therefore, the equation is

`y=-(1)/(4)x-10`