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

$y=\frac{5}{3}x+\frac{11}{3}$

Second point

x = -3

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

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