What is the point-slope form of a line with slope 3 that contains the point (2, 1)?

a. y - 1 = 3(x - 2)
b. y - 2 = 3(x + 1)
c. y - 2 = 3(x - 1)
d. y + 1 = 3(x + 2)

Equation A.y - 1 = 3(x - 2).

Step-by-step explanation:

Given :  A line with slope 3 that contains the point (2, 1).

To find : What is the point-slope form of a line .

Solution : We have given that

slope = 3

Point  (2, 1).

By the point-slope formula: which states that given a point and a slope m, the equation of the line can be written as y - = m(x - ).

Here = ( 2, 1)

m = slope = 3 .

Then Equation of line  y - = 3(x - ).

Therefore, Equation A.y - 1 = 3(x - 2).

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