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Which of the following is the equation of a line whose slope is 3 and which passes through the point (2,7)?

1. y=x + 3
2. y= 3x + 13
3. y=3x + 1
4. y= -3x + 5

Sagot :

Given:

Slope of a line = 3

Line passes through the point = (2,7)

To find:

The equation of the line.

Solution:

The point slope form of a line is:

[tex]y-y_1=m(x-x_1)[/tex]

Where, m is the slope of the line.

The line passes through the point (2,7) and slope of the line 3. So, the equation of the line is:

[tex]y-7=3(x-2)[/tex]

[tex]y-7=3x-6[/tex]

[tex]y=3x-6+7[/tex]

[tex]y=3x+1[/tex]

Therefore, the correct option is 3.

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