analytical geometry

Question

answer to the equation parallel to y=2x+3 and passing through the point (5,7)

Answer 1

Hi, Tina!

Okay, if the equation is parallel to y = 2x+3, then it has the same slope

y = mx + b   is the slope-intercept formula for a line. Therefore, the slope, m is 2.

So now you know the slope, substitute it into your new equation:

y = 2x + b

Now, insert the point (5,7) for  (x,y)

7 = 2(5) + b

7 = 10 + b

b = -3

 

Therefore the equation you are looking for is:

 

y = 2x - 3