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Which equation represents a line that passes through (2, -1) and has a slope of 3?A) y- 2 = 3(x + 1/2)
B) y- 3 = 2(x + 1/2)
C) y+ 1/2= 3(x - 2)
D) y+ 1/2= 2(x - 3)

Sagot :

Given:

The slope of the line is 3.

The line passes through the point (2,-1).

To find:

The equation of the line.

Solution:

Point slope form of a line: If a line passes through the point [tex](x_1,y_1)[/tex] with slope m, then the equation of the line is

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

The line passes through the point (2,-1) with slope 3. So, the equation of the line is

[tex]y-(-1)=3(x-2)[/tex]

[tex]y+1=3(x-2)[/tex]

Therefore, the required equation is [tex]y+1=3(x-2)[/tex]. Hence, all the options are incorrect.

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