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

User Yuri Morales
by
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2 Answers

10 votes
10 votes

Answer:

(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)

User Syduki
by
2.6k points
6 votes
6 votes

Answer:

(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

User Sunny R Gupta
by
2.8k points