Question

What is the equation of the line that passes through the points (-6,3) and (-5,2) in fully reduced form?

A) y = -x - 9
B) y = x - 9
C) y = -x + 9
D) y = x + 9

Answer 1

m = (2 - 3)/(-5 - (-6)) = -1

3 = -1(-6) + b

3 = 6 + b

b = -3

y = -x - 3

Answer 2

The equation of the line that passes through the points (-6,3) and (-5,2) is y = -x - 9.

Step-by-step explanation:

To find the equation of the line that passes through the points (-6,3) and (-5,2), we can use the slope-intercept form of a linear equation, which is y = mx + b.

First, we need to find the slope (m) of the line. The slope is calculated as (change in y) / (change in x).

Using the formula, we have m = (2-3) / (-5-(-6)) = -1 / 1 = -1.

Next, we can pick one point and substitute its coordinates into the equation, along with the slope, to find the y-intercept (b). Using (-6,3), we have 3 = (-1)(-6) + b, which simplifies to b = -9.

Therefore, the equation of the line in fully reduced form is y = -x - 9, so the correct option is A) y = -x - 9.