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

Question

asked Dec 3, 2021 36.2k views

2 Answers

Tony Merritt · Answer 1 · 2021-12-10T00:56:02+0000

Answer:

$y = -(2)/(5)\cdot x - 11$

Explanation:

First, the slope is determined by using the following expression:

m = (y_(2)-y_(1))/(x_(2)-x_(1))

m = (-7-(-9))/(-10 - (-5))

m = -(2)/(5)

The y-intercept is found by using the line equation, the slope and one point:

$y = m \cdot x +b$

$b = y - m\cdot x$

$b = -7 - \left(-(2)/(5)\right)\cdot (-10)$

b = -11

The equation of the line is:

$y = -(2)/(5)\cdot x - 11$