Question

Please help !
Graph the line.
-3x + y = -9

Answer 1

Hello!

The graph is attached.

To graph a line, we first need to know:

- If the slope is increasing or decreasing

- Calculate the interception point with the axis

The slope of a line indicates if the function is increasing or decreasing.

We are given the function:

`-3x+y=-9\\y=3x-9`

The slope is the coefficient of the variable (x), for this case, it's a positive value and it means that the function is increasing.

Calculating the interception points:

Let's make the function equal to 0 in order to find y-axis intercept:

`y=3x-9\\0=3x-9\\3x=9\\x=(9)/(3)=3`

Then, substituting "x" into the function to find the y-axis interception point, we have:

`y=3*3-9\\y=9-9=0`

The first interception point is (3,0)

To find the second interception point, let's make "x" equal to 0:

`y=3*0-9\\y=0-9=-9`

Then, substituting "y" into the function to find the x-axis interception point, we have:

`y=3x-9\\-9=3x-9\\-9+9=3x\\0=3x\\x=0`

The second interception point is (0,-9)

Therefore,

We have a line which has a positive slope (increasing function) and intercepts the axis at (3,0) and (0,-9)

See the attached image for the graphic.

Have a nice day!

Answer 2

See attachment

Explanation:

The given function is

`-3x+y=-9`

We make y the subject to get;

`y=3x-9`

This function has a y-intercept of (0,-9) and a slope 3.

Also when y=0,

`-3x+0=-9`

`-3x=-9`

`x=3`

The x-intercept is (3,0)

We plot the intercepts and draw a straight line through them to obtain the graph in the attachment.