Question

Find the equation of a line parallel to the line y = −5/4x + 7. Write the equation in Standard Form (Ax + By = C).

Answer 1

The equation to be found is parallel to

`y=2x+5`

2 lines that are parallel have the same slope. Therefore,

`\begin{gathered} m_1=m_2 \\ m_2=2 \end{gathered}`

The equation to be found is containing the point (3, 3)

`\begin{gathered} y=mx+b \\ \text{where} \\ m=\text{slope} \\ b=y-\text{intercept} \\ 3=2(3)+b \\ 3-6=b \\ b=-3 \end{gathered}`
`y=2x-3`