Graphing Using x & y Intercepts

Algebra Honors

Finding the x & y intercepts.

Write the equation in standard form first

Ax + By = C

To find the x – intercept~ where the graph crosses the x-axis ~

2 Methods: Pick one.1st Method: Cover up the y term and solve for x.

2x + 3y = 62x = 6x = 3

2nd Method: Plug in 0 for y and solve for x. 2x + 3y = 6

2x + 3(0) = 6 2x = 6

x = 3

To find the y – intercept~ where the graph crosses the y-axis ~

2 Methods: Pick one.1st Method: Cover up the x term and solve for y.

2x + 3y = 63y = 6y = 2

2nd Method: Plug in 0 for x and solve for y. 2x + 3y = 6

2(0) + 3y = 6 3y = 6

y = 2

Graph using X & Y intercepts.

2x + 5y = 10(5, 0)x-intercept

(0, 2)y-intercept

Graph using X & Y intercepts.

8x + y = 4(1/2, 0)x-intercept

(0, 4)y-intercept

Graph using X & Y intercepts.

3x + 4y = 24(8, 0)x-intercept

(0, 6)y-intercept

Graph using X & Y intercepts.

3x + 2y = 6(2, 0)x-intercept

(0, 3)y-intercept

Graph using X & Y intercepts.

4x - 3y = 12(3, 0)x-intercept

(0,-4)y-intercept

Graph using X & Y intercepts.

X = 5 (5,0) x-intercept

NO y-intercept

Graph using X & Y intercepts.

4x - 5y = 10(5/2, 0)x-intercept

(0,-2)y-intercept

Graph using X & Y intercepts.

x - 2y = 4 (4,0) x-intercept

(0,-2)y-intercept

Graph using X & Y intercepts.

y = 7 NO x-intercept

(0,7)y-intercept

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Algebra Honors