Use the point-slope formula

Question

Find the equation of the line that contains the point whose coordinates are (14, 9) and has slope 1/2

Answer 1

First we must plug in the numbers given into the following formula : y1 - y2 = (x1-x2)m

By doing so we get: 9-y2 = (14-x2)(1/2)

after subtracting the 9 from both sides and multiplying the (14-x2)(1/2) we get: -y2 = -2-(x2/2)

the final step is to divide by the -1 so we get : y2 = 2 + (x2/2)

to put in the y = mx + b form all we have to is move the (x2/2) in front of the 2 to get : y = x/2 + 2