Question

Can you help me with this assignment

Answer 1

since the line that is wanted is parallel to the one given means that it has the same slope as this one.

1. write the line given in the slope-intercept form

`\begin{gathered} 6x-5y=15 \\ -5y=15-6x \\ 5y=6x-15 \\ y=(6)/(5)x-3 \end{gathered}`

2. after having the slope find the y-intercept using the point given (5,4)

`\begin{gathered} y=(6)/(5)x+b \\ 4=(6)/(5)\cdot(5)+b \\ 4=6+b \\ 4-6=b \\ -2=b \end{gathered}`

3. rewrite the equation

`y=(6)/(5)x-2`