Mathematics

Question

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

2 Answer


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  • Answer:

    (0, - [tex]\frac{1}{3}[/tex]).

    Step-by-step explanation:

         First, let's simplify the equation:

    [Given] y + 5 = −[tex]\frac{2}{3}[/tex](x − 7)

    [Distribute] y + 5 = -[tex]\frac{2}{3}[/tex]x + [tex]\frac{14}{3}[/tex]

    [Subtract 5 from both sides] y = -23x - [tex]\frac{1}{3}[/tex]

         Now, we know that the y-intercept (- [tex]\frac{1}{3}[/tex]) 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

  • Answer:

    (1, -1)

    (0, -1/3)

    Step-by-step 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)