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PLEASE HELP!!!!!!!

What is an equation of the line that is parallel to y=5−3x and passes through (0, 2) ?

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User Rahmani
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2 Answers

6 votes

In the equation y = mx + b, where m represents the slope and b represents the y-intercept, we can determine the slope of the line to be -3. When two lines are parallel, they have the same slope (m).

To find the value of b, we need to substitute the coordinates of a point the line passes through into the equation. In this case, the point is (0, 2).

By plugging in the values, we get:

2 = -3(0) + b

2 = 0 + b

2 = b

User Subhajit Halder
by
5.4k points
3 votes

Remember that the slope intercept formula is:

y = mx + b

m is the slope

b is the y-intercept

so...

y = -3x + 5

If lines are parallel then they have the same slope (m)

This means that the slope of the line will be -3

y = -3x + b

Now we must find b

To do that you must plug in the point the line goes through in the x and y of the equation.

(0, 2)

2 = -3(0) + b

2 = 0 + b

2 = b

y = -3x + 2

Hope this helped!

~Just a girl in love with Shawn Mendes

User Rahima
by
5.8k points
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