Question

The slope, m, of a linear equation can be found using the formula m = , 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 + y1
y2 = mx2 – x1 – y1
y2 = m(x2 – x1) + y1
y2 = m(x2 – x1) – y1

Answer 1

y2 = m(x2 – x1) + y1

( Option C )

Answer 2

The slope of any line is the inclination of the line with x axis.

For any two ordered pairs (x1,y1) and (x2,y2) the slope

m=
`(y2-y1)/(x2-x1)`

We need to solve for y2.

Multiplying both sides by x2-x1 we have :

y2-y1=m(x2-x1)

y1 is subtracted to y2 so we perform the opposite operation both sides

Adding y1 both sides:

y2= x(2-x1)+y1.

The third option is the right answer.