Write an equation in slope-intercept form that is parallel to y - 5x = 10 and passes through the point (2, -4).

5
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Answer

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MisterBrainly
7 months ago

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- y-5x=10
- y=5x+10

Slope:-

- m=5

Parallel lines have equal slope

- passes through (2,-4)

Equation in point slope form

- y-y1=m(x-x1)
- y+4=5(x-2)
- y+4=5x-10
- y=5x-14

Answer:y = 5x - 14

Step-by-step explanation:*Parallel lines have the same slopes*

Rewrite your equation to slope-intercept form: y = mx + b

y = mx + b

y - 5x = 10 <== add 5x to both sides

+ 5x + 5x

y = 5x + 10

The slope of the line that is parallel to this line is

5.We need to find the y-intercept (b) for the parallel line using (2, -4):y = 5x + b <== substitue 2 for x and -4 for y

-4 = 5(2) + b

-4 = 10 + b <== subtract 10 from both sides to isolate b

-10 -10

-14 = b

y = 5x + b changes to y = 5x - 14

Hope this helps!