What is the equation in point slope form of the line that passes through the point (2, 6) and has a slope of 5?

Question

A. y−6=5(x−2)
B. y−2=5(x−6)
C. y+2=5(x+6)
D. y+6=5(x+2)

 

Can someone tell me how they got the answer?

 

Answer 1

When given a point and a slope, in order to find an equation of a line that passes through that point and has that particular slope, we can plug them into the point-slope formula:

 

y-y₁=m(x-x₁)

 

where "m" is the slope and "(x₁, y₁)" is the point.

 

When we plug in the given values into our formula, we get this:

 

y-6=5(x-2)

 

The answer is A