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
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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.
