Question

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)

Answer 1

y - 1 = 3( x - 2) is the answer

Answer 2

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

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
`(x_(1) ,y_(1))` and a slope m, the equation of the line can be written as y -
`y_(1)` = m(x -
`x_(1)`).

Here
`(x_(1) ,y_(1))` = ( 2, 1)

m = slope = 3 .

Then Equation of line y -
`1` = 3(x -
`2`).

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