Question

10 ptsWrite an equation in slope - intercept form for the line that passes through the given paint andis parallel to the given equation.5.(-2, 3), y =-3/4x+4

Answer 1

Two lines are parallel if:

`m1=m2`

For the line:

`\begin{gathered} y=-(3)/(4)x+4 \\ \text{Its slope is:} \\ m1=-(3)/(4) \end{gathered}`

Therefore:

`\begin{gathered} m2=m1 \\ m2=-(3)/(4) \end{gathered}`

Let:

(x1,y1)=(-2,3)

Using the point slope equation:

`\begin{gathered} y-y1=m(x-x1) \\ y-3=-(3)/(4)(x+2) \\ y-3=-(3)/(4)x-(3)/(2) \\ y=-(3)/(4)x-(3)/(2)+3 \\ y=-(3)/(4)x+(3)/(2) \end{gathered}`