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Alg 3.4 Graphing a Line From Intercepts
Name _________________________
Learning Objective: A.SSE.2 I will rewrite a linear function into standard form
A.REI.10
F.IF.4
F.IF.7
I will graph a linear function and show that the points on the graphs are solutions
I will identify the intercepts of a linear graph
F.IF.4 I will graph a function using intercepts
I will graph a linear function using intercepts F.IF.7 I will identify the intercepts of a linear function
Find the x- and y-intercepts of each linear function.
1.
Graph each equation by using the x- and y-intercepts from the equations in standard form.
6. 3x – y = –9
5. x + 5y = 10
7. 3x + 2y = –12
x = ____
x = ____
x = ____
y = ____
y = ____
y = ____
9. x + 2y = –10
8. 2x – y = 8
10. 3x – 6y = 18
x = ____
x = ____
x = ____
y = ____
y = ____
y = ____
11. 4x + 2y = –20
12. 6x – 4y = –24
13. 8x + 6y = 24
x = ____
x = ____
x = ____
y = ____
y = ____
y = ____
Determine whether each equation is a linear equation. Write yes or no. If yes, write the equation in
standard form. Ax + By = C
14. 2y = –4x + 5
15. 9xy – 6x = 7
16. 4y2 + 9 = –4
17. 12x = 7y – 10
18. y = 4 + x
19. x = 5y + 5
20. y = 4 + 2x2
21. x = 4 – y
22. x = y – 3
Graph each equation by first putting into standard form and then plotting the x- and y-intercepts.
24. 8x = –6y + 24
23. 2x = 3y + 6
Answers: 1) x = –3, y = 2
25. 4x = 2y – 12
x = ____
x = ____
x = ____
y = ____
y = ____
y = ____
3) x = –1, y = –2
15) no
17) 12x – 7y = –10
19) x – 5y = 5
21) x + y = 4