Question

Write the point-slope form of the equation of the line passing through the points (-5, 6) and (0, 1).

A) y + 6 = -1(x – 5)
B) y – 6 = -1(x + 5)
C) y + 6 = 1(x – 5)
D) y – 6 = 1(x + 5)

Answer 1

The point slope form:

`y - y_1 = m(x - x_1)`

We need to find the slope. To find the slope we can use the following formula:

`(y_2 - y_1)/(x_2 - X_1)`

Use the points (-5, 6) and (0, 1) and plug it into our slope formula and solve:

`(1 - 6)/(0 - (-5))`

`(-5)/(5) = -1`

So our slope is -1 which means m = slope = -1
Now that we have our slope lets create the point slope form

Our point slope form equation is
`y - y_1 = m(x - x_1)` Remember
m = slope = -1. Also, we are going to use the point (-5,6).

First insert the m = slope = -1 number where m is located

`y - y_1 = -1(x - x_1)`

Next, insert the -5 from (-5,6) where
`x_1` is located and the 6 from (-5,6) where
`y_1` is located.

`y - y_1 = -1(x - x_1)`

`y - 6 = -1(x - (-5))`
Now simplify

`y - 6 = -1(x - (-5))`

`y - 6 = -1(x +5)` <-------Answer