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=-(1)/(3)x+c`

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

Substitute x = 4, y= 3 into the equation

`3=-(1)/(3)(4)+c`

Simplify the equation and solve for c

`\begin{gathered} 9=-4+3c \\ 9+4=3c \\ 13=3c \\ c=(13)/(3) \end{gathered}`

Hence, the equation becomes

`y=-(1)/(3)x+(13)/(3)`

Using an online graphing calculator.

The graph of the line is shown