find the equation that is parallel to y=2x+5 and contains the points (2,-4)

Answer 1

y = mx + b is equation of line in slope intercept form, where m = slope and b = y-intercept

y = 2x + 5 is in slope-intercept form, so it's slope is 2.

We need to find equation of line in form y = mx + b that goes through (2,-4)

Since the line is parallel to y = 2x + 5, it has the same slope of 2, so m = 2

To find b we use (2,-4) for x and y and 2 for m and solve for b:

-4 = 2(2) + b

-8 = b

so y = 2x - 8 is the equation of the line