Write the equation of a line that is parallel to y=2x an goes through point 2,5

Answer 1

The slope of y = 2x is 2.

The slope of the parallel line is also 2

Start with point-slope form.

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

Answer 2

Given two points in 2D space or z=0

A = (x1,y1) = (2,5)

y(x) = 2x -----> slope m = 2

To have a function parallel to y(x) must have same slope

POINT SLOPE FORM

(y-y1) = m(x-x1)

y-5 = 2(x-2) = 2x -4

y = 2x +1