Question Details

The line y=mx+7 passes through (2,13). Find m.

Options

A

2

B

3

C

6

D

5

Show Answer

Correct Answer :

Option B

3

Solution :

The correct answer is 3.

To find the slope m of the line, we use the given equation of the line:

y=mx+7

We are given that the line passes through the point (2,13). This means that when x=2, y=13.

Substitute x=2 and y=13 into the equation:

13=m(2)+7

Subtract 7 from both sides of the equation to isolate the term with m:

13-7=2m

6=2m

Now, divide both sides by 2 to solve for m:

m=62

m=3

Therefore, the value of m is 3.

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