Question

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

Answer 1

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

Step-by-step 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)