Question

i need help plsss n ty​

Answer 1

Answer

○ A. $\displaystyle y - 5 = 2(x - 10)$

Step-by-step explanation:

First, find the rate of change [slope]:

$\displaystyle \frac{-y_1 + y_2}{-x_1 + x_2} = m \\ \\ \frac{-5 - 7}{-10 + 4} = \frac{-12}{-6} = 2$

Then, according to the Point-Slope Formula, $\displaystyle y - y_1 = m(x - x_1),$all the negative symbols give the OPPOSITE terms of what they really are, so be EXTREMELY CAREFUL inserting the coordinates into the formula with their CORRECT signs:

$\displaystyle y - 5 = 2(x - 10)$

I am joyous to assist you anytime.