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42 votes
42 votes
URGENT!

Write an equation of the line with slope = 2, (2,1)

can you also explain please?

User UnLiMiTeD
by
2.7k points

2 Answers

13 votes
13 votes

Answer:

y=2x-3

Explanation:

Use the point slope formula to pass through the correct point of (2,1)

y-y1=m(x-x1)

y1 is the y value of the point you're trying to pass

m is the required slope

x1 is the x value of the point you're trying to pass

In this case, y1 would be 1, m would be 2, and x1 would be 2. Plug those values in.

y-1=2(x-2)

Distribute.

y-1=2x-4

Addition property of equality (add 1 to both sides to isolate y).

y=2x-3

There is your equation!

User Priyanka Mishra
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3.5k points
18 votes
18 votes

Answer: y=2x-3

The model for a pen equation of a line is y=mx+b. ”m” is the slope and ”b” is the y-intercept. Since we know the slope is 2, y=2x+b. To find the value of b, substitute the given point into the equation. So, 1=2(2)+b, 1=4+b, b=-3. The equation of the line is y=2x-3.

:)

User Nathan Getachew
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2.9k points