Question

Given the equation y + 5 = −23(x − 7) what is a point on the line?

Answer 1

(1, -1)

(0, -1/3)

Explanation:

y + 5 = −2/3(x − 7)

We can use distribute property to open up the parentheses.

y + 5 = -2/3x - (-4 2/3)

Two negatives equals one positive

y + 5 = -2/3x + 4 2/3

minus 4 2/3 on both sides

y + 1/3 = -2/3x

Some possible ordered pairs can be

(1, -1)

(0, -1/3)

Answer 2

(0, -
`(1)/(3)`).

Explanation:

First, let's simplify the equation:

[Given] y + 5 = −
`(2)/(3)`(x − 7)

[Distribute] y + 5 = -
`(2)/(3)`x +
`(14)/(3)`

[Subtract 5 from both sides] y = -23x -
`(1)/(3)`

Now, we know that the y-intercept (-
`(1)/(3)`) will be a

point on the graph as (0, -

Have a nice day!

I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather