RUrrrrPracrice2.5 Equations of Lines and Linear Models 243Write an equation for each line described. Give answers in standard form for Ex-ercises 11-20 and in slope- intercept form (if possible) for Exercises 21-32. SeeExamples 1-4.11. through (1, 3), m = -212. through (2, 4), m = -1313. through (-5, 4), m =14. through (-4, 3), m =2415. through (-8, 4), undefined slope er 16. through (5, 1), undefined slopetai17. through (5, -8), m = 018. through (-3, 12), m = 019. through (-1, 3) and (3, 4)20. through (2, 3) and (-1, 2)21. x-intercept (3, 0), y-intercept (0,-2)22. x-intercept (-4, 0), y-intercept (0, 3)0323. vertical, through (-6, 4)24. vertical, through (2, 7)25. horizontal, through (-7, 4)26. horizontal, through (-8,-2)27. m 5, b = 1528. m -2, b = 1229. through (-2, 5) having slope -430. through (4, -7) having slope -231. slope 0, y-intercept (0, 2)32. slope 0, y-intercept (0,-233. Concept Check Fill in each blank with the appropriate response:The line x + 2 = 0 has x-interceptIthave(does/does not)y-intercept. The slope of this line is(0/undefined)The line 4y 2 has y-intercept_have anIt(does/does not)x-intercept. The slope of this line is(0/undefined)34. Concept Check Match each equation with the line that would most closely resem-ble its graph. (Hint: Consider the signs of m and b in the slope-intercept form.)(b) y-3x+ 2(d) y-3x - 2(c) y 3x- 2(a) y 3x+ 2уD.С.В.А.POLY1 StVOT141Cs omEs

Question
Asked Sep 29, 2019

21: Write in slope-intercept form.

How do you proceed?

RU
rrrr
Pracrice
2.5 Equations of Lines and Linear Models 243
Write an equation for each line described. Give answers in standard form for Ex-
ercises 11-20 and in slope- intercept form (if possible) for Exercises 21-32. See
Examples 1-4.
11. through (1, 3), m = -2
12. through (2, 4), m = -1
3
13. through (-5, 4), m =
14. through (-4, 3), m =
2
4
15. through (-8, 4), undefined slope er 16. through (5, 1), undefined slope
tai
17. through (5, -8), m = 0
18. through (-3, 12), m = 0
19. through (-1, 3) and (3, 4)
20. through (2, 3) and (-1, 2)
21. x-intercept (3, 0), y-intercept (0,-2)
22. x-intercept (-4, 0), y-intercept (0, 3)
03
23. vertical, through (-6, 4)
24. vertical, through (2, 7)
25. horizontal, through (-7, 4)
26. horizontal, through (-8,-2)
27. m 5, b = 15
28. m -2, b = 12
29. through (-2, 5) having slope -4
30. through (4, -7) having slope -2
31. slope 0, y-intercept (0, 2)
32. slope 0, y-intercept (0,-2
33. Concept Check Fill in each blank with the appropriate response:
The line x + 2 = 0 has x-intercept
It
have
(does/does not)
y-intercept. The slope of this line is
(0/undefined)
The line 4y 2 has y-intercept_
have an
It
(does/does not)
x-intercept. The slope of this line is
(0/undefined)
34. Concept Check Match each equation with the line that would most closely resem-
ble its graph. (Hint: Consider the signs of m and b in the slope-intercept form.)
(b) y-3x+ 2
(d) y-3x - 2
(c) y 3x- 2
(a) y 3x+ 2
у
D.
С.
В.
А.
POLY
1 St
VOT
141Cs omEs
help_outline

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RU rrrr Pracrice 2.5 Equations of Lines and Linear Models 243 Write an equation for each line described. Give answers in standard form for Ex- ercises 11-20 and in slope- intercept form (if possible) for Exercises 21-32. See Examples 1-4. 11. through (1, 3), m = -2 12. through (2, 4), m = -1 3 13. through (-5, 4), m = 14. through (-4, 3), m = 2 4 15. through (-8, 4), undefined slope er 16. through (5, 1), undefined slope tai 17. through (5, -8), m = 0 18. through (-3, 12), m = 0 19. through (-1, 3) and (3, 4) 20. through (2, 3) and (-1, 2) 21. x-intercept (3, 0), y-intercept (0,-2) 22. x-intercept (-4, 0), y-intercept (0, 3) 03 23. vertical, through (-6, 4) 24. vertical, through (2, 7) 25. horizontal, through (-7, 4) 26. horizontal, through (-8,-2) 27. m 5, b = 15 28. m -2, b = 12 29. through (-2, 5) having slope -4 30. through (4, -7) having slope -2 31. slope 0, y-intercept (0, 2) 32. slope 0, y-intercept (0,-2 33. Concept Check Fill in each blank with the appropriate response: The line x + 2 = 0 has x-intercept It have (does/does not) y-intercept. The slope of this line is (0/undefined) The line 4y 2 has y-intercept_ have an It (does/does not) x-intercept. The slope of this line is (0/undefined) 34. Concept Check Match each equation with the line that would most closely resem- ble its graph. (Hint: Consider the signs of m and b in the slope-intercept form.) (b) y-3x+ 2 (d) y-3x - 2 (c) y 3x- 2 (a) y 3x+ 2 у D. С. В. А. POLY 1 St VOT 141Cs omEs

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Expert Answer

Step 1

Since x-intercept is (3,0) and y-intercept is (0,-2), therefore , the line passes through the points (3,0) and (0,-2).

We know that slope of line passing through the points (x1,y1) and (x2,y2) is

У, — У,
т 3.
х, — х
-2-0 2
т 3D
0-3
3
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У, — У, т 3. х, — х -2-0 2 т 3D 0-3 3

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Step 2

The slope - intercept form of line is y=mx+c

He...

у%3D тх + с
2
у %
—х — 2
у
3
help_outline

Image Transcriptionclose

у%3D тх + с 2 у % —х — 2 у 3

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