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 $y_2$? $\\bigcirc$ $y_2 = mx_2 - x_1 + y_1$ $\\bigcirc$ $y_2 = mx_2 - x_1 - y_1$ $\\bigcirc$ $y_2 = m(x_2 - x_1) + y_1$ $\\bigcirc$ $y_2 = m(x_2 - x_1) - y_1$

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 $y_2$? $\\bigcirc$ $y_2 = mx_2 - x_1 + y_1$ $\\bigcirc$ $y_2 = mx_2 - x_1 - y_1$ $\\bigcirc$ $y_2 = m(x_2 - x_1) + y_1$ $\\bigcirc$ $y_2 = m(x_2 - x_1) - y_1$

Answer

Explanation:

Step1: Start with the slope formula

We have the formula ( m = \frac{y_2 - y_1}{x_2 - x_1} ). To solve for ( y_2 ), first multiply both sides by ( x_2 - x_1 ) to eliminate the denominator. ( m(x_2 - x_1) = y_2 - y_1 )

Step2: Isolate ( y_2 )

Add ( y_1 ) to both sides of the equation to solve for ( y_2 ). ( y_2 = m(x_2 - x_1) + y_1 )

Answer:

( y_2 = m(x_2 - x_1) + y_1 ) (corresponding to the option ( y_2 = m(x_2 - x_1) + y_1 ))