Which graph represents a proportional relationship? On a coordinate plane, a straight line with negative slope goes through po

Question

Which graph represents a proportional relationship?
On a coordinate plane, a straight line with negative slope goes through points (2, 6), (4, 5).
On a coordinate plane, a curve opens down.
On a coordinate plane, a straight line with positive slope goes through points (5, 2) and (6, 3).
On a coordinate plane, a straight line with positive slope goes through points (3, 3) and (4, 4).

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Ben Gia 6 months 2021-07-15T03:22:49+00:00 1 Answers 9 views 0

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    2021-07-15T03:24:21+00:00

    Answer:

    On a coordinate plane, a straight line with positive slope goes through points (3, 3) and (4, 4).

    Step-by-step explanation:

    both points when divided (y÷x) should give the same answer for it to be proportional

    meaning

    4÷4 = 1 and 3÷3 = 1

    someone else in brainly gave a great answer too

    auroraborealis

    Ace

    861 answers

    2M people helped

    Answer:

    D. On a coordinate plane, a straight line with positive slope goes through points (3, 3) and (4, 4).

    Explanation:

    For a relationship to be proportional it needs to meet two conditions:

    1) its graph needs to be a straight line

    2) every point of the graph needs to satisty the equation y = k•x, or, in other words k has to be equal for every point

    Now, let’s check the answers;

    A) we have two points: A (2, 6) and B (4, 5). For point A, x is 2 and y is 6, so:

    y = k•x

    6 = k•2

    k = 3

    For point B, x is 4 and y is 5, so:

    y = k•x

    5 = k•4

    k= 5/4

    Since k isn’t the same value for these two points, this isn’t proprtional relationship.

    B) this graph is curve, so since it’s not a straight line it can’t be proportional relationship.

    C) similarly to graph A we have point A (5, 2) and point B (6, 3).

    For point A, x is 5 and y is 2, so:

    y = k•x

    2 = k•5

    k = 2/5

    For point B, x is 6 and y is 3, so:

    y = k•x

    3 = k•6

    k = 1/2

    Again values of k aren’t the same, so this isn’t a proportional relationship.

    D) Point A (3, 3) and point B (4, 4). For point A, x is 3 and y is 3, so:

    y = k•x

    3 = k•3

    k = 1

    For point B, x is 4 and y is 4, so:

    y = k•x

    4 = k•4

    k = 1

    Since value of k is the same for both points, this graph shows the proportional relationship.

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