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1 vote
I need help with this, I've never really understood linear stuff.

Determine which of the following points lies on the line of the linear equation y = -3x + 7.

2 Answers

4 votes

You have several possible points
(x,y). Any point that lies on the given line will have a
y value that you obtain by plugging in the corresponding value of
x into the equation of the line.

The line has equation
y=-3x+7, so any point on the line will have the form
(x,-3x+7).

Among the four given points, there are only 2 different values of
x to check. We have


x=4\implies y=-3(4)+7=-12+7=-5


x=1\implies y=-3(1)+7=-3+7=4

which means the given line contains the points (4, -5) and (1, 4). So the answer is A.

User DawidPi
by
8.0k points
1 vote

OK; there's another answer but I haven't peeked.

y = -3 x + 7

A(4,-5): -3(4)+7=-12+7=-5 (4,-5) is on the line

B(4 ,19) . We got y=-5 when x=4 so this one isn't on the line.

C(1, 5) : -3(1)+7=4 not 5, not on the line

D(1, -19) : Still 4 not -19, not on the line

Answer: A

User Riza
by
8.4k points

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