Equation Of The Slope

Question

Find the equation of the line with Slope = 2 and passing through (5,15). Write your equation in the form .

y =

Answer 1

let m be your slope.

we are told that the equation has a slope of 2 and goes through (5,15). Plug this into the equation

y=mx+b

substituting 15 for y, 5 for x, and 2 for m, we get

15=2(5)+b

15=10+b

subtracting 10 on both sides gives us

5=b

now that we have m=2, and b=5, our equation can be written as:

y=2x+5

Hope this helps.

Answer 2

you are given m (slope) = 2. Need to find y-intercept (b)

substitute m = 2, x = 5 and y = 15 into equation y = mx + b, to solve for b