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Nataly_w [17]
2 years ago
8

Write an equation of the line containing the given point and parallel to the given line.

Mathematics
1 answer:
Dafna11 [192]2 years ago
6 0

Answer:

y = 5/9x - 37/3

Step-by-step explanation:

5x - 9y = 8

-9y = -5x + 8

y = 5/9x - 8/9

  • When a line is parallel, the slope remains the same.

y = 5/9x + b

-9 = 5/9(6) + b

-9 = 10/3 + b

-37/3 = b

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Answer:

y = (-8/9)x + 0.77777

Step-by-step explanation:

We already know the slope, so the only thing left to find is the y-intercept.

To find the y-intercept, we can <u>plug in the slope and point to the slope-intercept form equation</u> (y = mx+b, where m=slope and b=y-int.)

y   =     m *  x    + b

(7) = (-8/9)*(-7)   + b

<u>Now, just solve for b!</u>

(7) = (-8/9)*(-7)   + b

7 = 56/9 + b

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so now we just <u>plug in the slope and y-intercept we found into y = mx + b.</u>

y = mx + b

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Step-by-step explanation:

Simplify the expression

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Hoped this helped
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