Q:

The slope, m, of a linear equation can be found using the formula m = StartFraction y 2 minus y a Over x 2 minus x 1 EndFraction., where the x- and y-values come from two ordered pairs, and (x1, y1) and (x2, y2).What is an equivalent equation solved for y2?y2 = mx2 – x1 + y1y2 = mx2 – x1 – y1y2 = m(x2 – x1) + y1y2 = m(x2 – x1) – y1

Accepted Solution

A:
Answer:y2 = m(x2-x1)+y1Step-by-step explanation:Given the formula for finding the slope of a linear equation to be;m = y2-y1/x2-x1 where x and y are from the ordered pairs (x1,y1) and (x2,y2)To get the equivalent equation for y2, we will make y2 the subject of tbw formula from the equation as shown:m = y2-y1/x2-x1Cross multiplyingm(x2-x1) = y2-y1mx2-mx1 = y2-y1Adding y1 to both sides of the equation we have;mx2-mx1 + y1= y2-y1+y1y2 = mx2-mx1 + y1y2 = m(x2-x1)+y1This gives the resulting equation to solve for y2