Question

Graph the line given the point (4, 3) and the slope m = − 1/3

Answer 1

The line passes through the point (4, 3)

The line has a slope of m=-1/3

The equation of the line can be written in the form

$y=mx+c$

Since the slope is -1/3

Then the equation becomes

$y=-\frac{1}{3}x+c$

Since the line passes through the point (4, 3)

Substitute x = 4, y= 3 into the equation

$3=-\frac{1}{3}(4)+c$

Simplify the equation and solve for c

$\begin{gathered} 9=-4+3c \\ 9+4=3c \\ 13=3c \\ c=\frac{13}{3} \end{gathered}$

Hence, the equation becomes

$y=-\frac{1}{3}x+\frac{13}{3}$

Using an online graphing calculator.

The graph of the line is shown