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lamooothegoat
08.12.2020 •
Mathematics
A benefit of flashcards is that they are a. Portable c. Very large b. Contains lots of information d. Ask many questions on one card Please select the best answer from the choices provided A B C D
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Ответ:
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 gave a great answer too
auroraborealis
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861 answers
2M people helped
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.