Question

i am stuck on this question, any help would be greatly appreciated The indicated line is the 3/5x+17 and is passing through the points -5, 15

Answer 1

We want to find a parallel line to y = (3/5)x + 17 passing through the point (-5,15)

Any two lines are parallel if they have the same slope.

Therefore, the line we are looking for must have slope 3/5

If the line passes through (-5,15), its slope s must be given by:

`\begin{gathered} 15=(3)/(5)x+s \\ 15=(3)/(5)(-5)+s \\ 15=-3+s \\ s=18 \end{gathered}`

Therefore, the line is given by:

`y=(3)/(5)x+18`