Question

Graph the line with slope -1/3 and y-intercept-3.

Answer 1

Answer:

The graph in the attached figure

Step-by-step explanation:

we know that

The equation of the line into slope intercept form is equal to

$y=mx+b$

where

m is the slope

b is the y-intercept

In this problem we have

$m=-\frac{1}{3}$

$b=-3$

substitute

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

To graph the line find out the intercepts

Find the y-intercept

The y-intercept is the value of y when the value of x is equal to zero

so

For x=0

$y=-\frac{1}{3}(0)-3=-3$

The y-intercept is the point (0,-3) -----> is a given value

Find the x-intercept

The x-intercept is the value of x when the value of y is equal to zero

so

For y=0

$0=-\frac{1}{3}x-3$

$x=-9$

The x-intercept is the point (-9,0)

Plot the intercepts and join the points to graph the line

see the attached figure