Graphing by X- and Y-Intercepts

Put 0 where the x is and solve for y

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*Shortcut: Divide the "C" value by the coefficient in front of y​

To find the y-intercept:

Put 0 where the y is and solve for x

​

*Shortcut: Divide the "C" value by the coefficient in front of x​

To find the x-intercept:

​Graphing by x-and y-intercepts

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Graphing x- and y-intercepts

Use this to check your answers to the worksheet! #1 will walk you through more step-by-step, then you will check your answers more with the last 3.​

Subject | Subject

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Multiple Choice

First problem on your worksheet:

$$3x-1y=-3$$  

Find the x-intercept:

• (0, -1)

• (-1, 0)

• (3, 0)

• (0, 3)

​Substituted 0 in place of the y variable and solved for x.

​

Could have also just taken the "C" value (which is -3) and divided it by the coefficient in front of x (which is 3).

​Check your work!

Multiple Choice

$$3x-1y=-3$$  

Find the y-intercept:

• (0, -1)

• (-1, 0)

• (3, 0)

• (0, 3)

​Substituted 0 in place of the x variable and solved for y.

​

Could have also just taken the "C" value (which is -3) and divided it by the coefficient in front of y (which is -1).

​Check your work!

Draw

Graph your line by plotting the x- and y-intercepts. You will check your answer on the next slide!

​Check your graph! Make sure that you have it graphed on your paper!

Multiple Choice

Second problem on your worksheet:

$$5x+3y=15$$  

Find the x-intercept:

• (3, 0)

• (0, 5)

• (5, 0)

• (0, 3)

Multiple Choice

Second problem on your worksheet:

$$5x+3y=15$$  

Find the y-intercept:

• (3, 0)

• (0, 5)

• (5, 0)

• (0, 3)

​Check your graph! Make sure that you have it graphed on your paper!

Multiple Choice

Third problem on your worksheet:

$$4x-6y=12$$  

Find the x-intercept:

• (-2, 0)

• (0, -2)

• (3, 0)

• (0, 3)

Multiple Choice

Third problem on your worksheet:

$$4x-6y=12$$  

Find the y-intercept:

• (-2, 0)

• (0, -2)

• (3, 0)

• (0, 3)

​Check your graph! Make sure that you have it graphed on your paper!

Multiple Choice

Fourth problem on your worksheet:

$$10x+8y=-40$$  

Find the x-intercept:

• (-5, 0)

• (0, -4)

• (-4, 0)

• (0, -5)

Multiple Choice

Fourth problem on your worksheet:

$$10x+8y=-40$$  

Find the y-intercept:

• (-5, 0)

• (0, -4)

• (-4, 0)

• (0, -5)

​Check your graph! Make sure that you have it graphed on your paper!