Question

Which of the following equations is equivalent to the slope formula

Answer 1

where are the following...

Answer 2

The following equation is equivalent to the slope formula is

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

Step-by-step explanation:

• Let $(x_1,y_1)$ and $(x_2,y_2)$ be the points
• Let m be the slope
• Then the slope formula is given by

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

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

Rewritting the above equation we get

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

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

Hence from the slope formula we get another equivalent equation is $y_2=m(x_2-x_1)+y_1$

The following equation is equivalent to the slope formula is

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