Question

Graph a line that passes through point P(-4, -3) and has a slope of 5/3. What is the ordered pair of a second point that may be plotted to graph the line? Response *Hint Use maximize tool if images or video cut off BI U TK mu . show more tools Font Size 0 x, x2

Answer 1

Point P = (-4, -3)

Slope = 5/3

First we will calculate the equation of the line

`\begin{gathered} b=y-mx \\ b=-3-(5/3)\cdot(-4) \\ b=-3+20/3 \\ b=11/3 \end{gathered}`

The full equation would be

`y=(5)/(3)x+(11)/(3)`

Second point

x = -3

`\begin{gathered} y=(5)/(3)(-3)+(11)/(3) \\ y=-5+(11)/(3) \\ y=-(4)/(3) \end{gathered}`

The ordered pair would be (-3, -4/3)