how do i figure out this geometry problem?

Question

Determine which point does not lie
on the graph of the line y = x - 3.


(-10, 13)
(-10, -13)
(-8, -11)

I don't really just need the answer but to know how to do it, thanks.

Answer 1

Well points are in the form of (x, y).

Therefore, if you plug in your points into your equation, the point that does not lie on the graph will be the one that is not true.

For example,


y = x - 3

Let's try the point (-10, -13). Since -10 is x and -13 is y, you plug them into your equation and get:

(-13) = (-10) - 3
-13 = -10 - 3
-13 = -13


Does negative thirteen equal negative thirteen? Yes, it does.

So the third point:

y = x - 3 with the point (-8, -11)

(-11) = (-8) - 3
-11 = -11

Also true. So back to the first point....

y = x - 3 with the point (-10, 13)

(13) = (-10) - 3
13 = -13

Does thirteen equal negative thirteen? No, 13 and -13 are two different numbers. Therefore, the first point, (10, -13) does not lie on the graph of y = x - 3.


To solve these problems, all you need to do is plug the points into the equation and see which one doesn't work. Best of luck to you.

Answer 2

simple. just draw the x and y axis with both positive and negative sides. every y values should be 3 units smaller than the corresponding x value.

example: when x is 1, y is -2. when x is 2, y is -1. when x is 3, y is 0. when x is 4, y is 1. etc.

draw the graph and extend the line. then locate the points above and hopefully, one of them should not be on the line.

and in this case, (-10, 13) doesn't lie on the line. because -10 is x, and 13 does not = -10 - 3.

Answer 3

just plug in the variables.... (x, y) into the problem. If it is true then it that point falls on the line.

13 = -10-3 not true
-13 = -10-3 true
-11 = -8-3 true

so your answer is the first one does not like on the graph line

Answer 4

Plug the answer in since y=x-3

(-10,13)
13=-10-3
13=-13 NOT CORRECT

(-10,-13)
-13=-10-3
-13=-13 CORRECT

(-8,-11)
-11=-8-3
-11=-11 CORRECT

(-10,13) does not lie on the graph.
Plug it into the equation since the point are (x,y)

Answer 5

All the coordinates you have are (x, y) so substitute the x (the first number in the perenthesis for x in the equation. When you subtract 3, if you get the y number (the second number in the perenthesis) then the point lies on the line. If not, it doesn't. For example, if you wanted to try (3, 4), you would substitute 3 for x. 3-3=0, not 4. Since it does not equal the y number, you know that point does not lie on the line.

Answer 6

Its best to go to school & don't skip. While there you should ask the teacher what you don't understand. There are no such thing as a bad quetion. Not asking is tho. Also it ould be good to pay attention & seek after school help from someone or the teacher until it's fully understood. That's what those teachers are there for YOU!! So don't feel embarrassed about asking cause there are a lot of others who also do not know but are afraid to ask cause they don't want to look like dummies, but are cause they don't ask. I'll tell ya school years are the best years of your life & fun. When you understand things that also makes class fun to be in. That's how we get good great knowledgable leaders in government, business, & the world. So don't be shy!! ASK!!! By asking us, that's the easy way out & ya still don't really know how to figure it out. Go to after school classes, as you have the rest of your life to grow up & fool around.

Answer 7

(-10,13)... just plug in your X-cord into the equation to see if you get the Y-coordinate... for example.. on the (-8,-11) you would say y= -8 -3 or -11 = -8 -3... since -11 is your answer choice for the y-cord it fits.. does that make sense?

Answer 8

diagonal of the backside =sqrt(6^2+8^2)=10 so the top and the diagonal of the backside are 2 perpendicular isdes of a superb angled triangle, and hypotenuse is the diagonal of field so use pythagoras formulation returned to locate the top that's = sqrt(26^2-10^2)

Answer 9

Study!!!!