Question

A line with a slope of 3 passes through (2,5). Which choice is an equation of this line?

A. y + 5 = 3x + 2
B. y − 5=3(x − 2)
C. y - 5 = 3x - 2
D. y - 5 = 3x - 2

Answer 1

Answer: B.
`(y-5)=3(x-2)`

Explanation:

Given : A line with a slope of 3 passes through (2,5).

The point slope form of a line that passes through point (a,b) and has sklope m is given by :-

`(y-b)=m(x-a)`

Similarly, the point slope form of a line with a slope of 3 passes through (2,5). will be :_

`(y-5)=3(x-2)`

Hence, the correct choice for an equation of this line : B.
`(y-5)=3(x-2)`

Answer 2

The point-slope form of the equation of a line of slope m through point (h, k) is given by

... y - k = m(x - h)

Substituting your given values, you have ...

... B. y - 5 = 3(x - 2)