the slope, m, of a linear equation can be found using the formula m = \\frac{y_2 - y_1}{x_2 - x_1}, where…

the slope, m, of a linear equation can be found using the formula m = \\frac{y_2 - y_1}{x_2 - x_1}, where the x - and y - values come from two ordered pairs, and (x_1, y_1) and (x_2, y_2). what is an equivalent equation solved for y_2? o y_2 = mx_2 - x_1 + y_1 o y_2 = mx_2 - x_1 - y_1 o y_2 = m(x_2 - x_1) + y_1 o y_2 = m(x_2 - x_1) - y_1

the slope, m, of a linear equation can be found using the formula m = \\frac{y_2 - y_1}{x_2 - x_1}, where the x - and y - values come from two ordered pairs, and (x_1, y_1) and (x_2, y_2). what is an equivalent equation solved for y_2? o y_2 = mx_2 - x_1 + y_1 o y_2 = mx_2 - x_1 - y_1 o y_2 = m(x_2 - x_1) + y_1 o y_2 = m(x_2 - x_1) - y_1

Answer

Explanation:

Step1: Multiply both sides by $(x_2 - x_1)$

$m(x_2 - x_1)=\frac{y_2 - y_1}{x_2 - x_1}(x_2 - x_1)$ $m(x_2 - x_1)=y_2 - y_1$

Step2: Add $y_1$ to both sides

$m(x_2 - x_1)+y_1=y_2 - y_1 + y_1$ $y_2=m(x_2 - x_1)+y_1$

Answer:

C. $y_2 = m(x_2 - x_1)+y_1$