Question

Complete the equation of the line through (-10,-7) and (-5, -9).Use exact numbers,​

Answer 1

Answer:

$y=\frac{-5}{2}*x + 18$

Step-by-step explanation:

A line in 2-dimensional space has the following general equation:

$y=m*x+b$

Where m is the slope of the line, and b just a number

the slope can be obtaine using th following formula:

$m=\frac{x_{2} - x_{1} }{y_{2} - y_{1}}$

The point 2 is the one with the smallest value for x, that is (-10,-7) and the Point 1 is any other that belongs to the line, in this case, (-5,-9)

$m=\frac{-5 - (-10) }{-9 - (-7)}$

Resulting that $\frac{-5}{2}$

To find the other term we can use any other point, I prefer us the first one so...

We have the following equation:

$-7=\frac{-5}{2}*(-10)+b$

Resulting that b=18

I just have to eval the point (-10,-7) in the equation stated at the beginning  knowin that m was calculated previously.

Answer 2

Answer:

y= -2/5x+18

Step-by-step explanation:

:) believe this answer or the other but (you should choose mine)