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3 years ago

For questions 19-22, write a linear equation with the given information.

Mathematics

1 answer:

podryga [215]3 years ago

3 0

Answer:

19. y = x + 1
20. y = -2/3x - 5
21. y = -1/2x + 7
22. y = 4x - 3

Step-by-step explanation:

19. Passing through (2, 3) and PARALLEL to y = x - 4

Parallel lines have equal slopes:

y = x + b

Use given point to find b:

3 = 2 + b
b = 1

The line is:

y = x + 1

20. Passing through (-6, -1) and PARALLEL 2x + 3y = 3

Rewrite in the slope-intercept form:

2x + 3y = 3
3y = -2x + 3
y = -2/3x + 1

The line have same slope:

y = -2/3x + b
-1 = -2/3(-6) + b
-1 = 4 + b
b = - 5

The line is:

y = -2/3x - 5

21. Passing through (-2, 8) and PERPENDICULAR to y = 2x + 5

Perpendicular lines have negative-reciprocal slopes

The line has the form:

y = -1/2x + b

Find the y-intercept:

8 = -1/2*(-2) + b
8 = 1 + b
b = 7

The line is:

y = -1/2x + 7

22. Passing through (-2, -11) and PERPENDICULAR to x + 4y = 8

Perpendicular lines have negative-reciprocal slopes

Rewrite in slope-intercept form:

x + 4y = 8
4y = -x + 8
y = -1/4x + 2

The line has the form:

y = 4x + b

Find y-intercept:

-11 = 4(-2) + b
-11 = -8 + b
b = -3

The line is:

y = 4x - 3

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Retrieved Information:

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