Question

C(1,8); y= -4x+5What would the written equation be y=?

Answer 1

`y=-4x+12`

Explanation:

When two lines are parallel the slope is the same.

Therefore, the slope, m = -4

Now, we must calculate the y-intercept, which we calculate starting from the equation in its slope-intercept form, like this

`\begin{gathered} y=mx+b \\ \text{replacing the point (1,8) and the slope -4:} \\ 8=-4\cdot1+b \\ b=8+4 \\ b=12 \end{gathered}`

Therefore the equation would be

`y=-4x+12`