Choose the slope-int form equation that is parallel to y =

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07-11-2021
Mathematics

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Choose the slope-int form equation that is parallel to y =

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doomdabomb doomdabomb · Answer 1 · 2021-11-07T17:18:09-05:00

Answer:

y = -2/3x

Step-by-step explanation:

Read and Understand how to find the line that is parallel to another line given one equation of a line and a point.

When two lines are parallel, they never intersect.

What do parallel lines having in common? The slope. Therefore, -2/3 is part of our answer.

Write the equation in slope-intercept form…

y = -2/3x + b

Where b is our y-intercept (Since two parallel lines don’t have the same y-intercept)

Then use the given point to plug it in our equation so we can find the value of b

y = -2/3x + b

(4) = -2/3(-6) + b

4 = 4 + b

b = 0

The equation of the line that is parallel to y = -2/3x + 7 and passes through the point (-6, 4) is y = -2/3x (we don’t need to include the y-intercept in this case because the y-intercept is equal to 0)

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