Question

I need help plsss n ty​

Answer 1

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

Explanation:

First, find the rate of change [slope]:

`\displaystyle (-y_1 + y_2)/(-x_1 + x_2) = m \\ \\ (-5 - 7)/(-10 + 4) = (-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.