Calculating whether point is on a line with an equation

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GMAT Quantitative › Calculating whether point is on a line with an equation

Questions 1 - 6
1

Which of the following are points along if

.

Explanation

One way to solve this one is by plugging in each of the answer choices and eliminating any that don't work out. Begin with our original g(x)

If we plug in 3 we get

,

So our point is (3,28).

2

Solve for in the coordinate on line ?

Explanation

To solve for for , we have to plug into the variable of the equation and solve for :

3

Solve for in the coordinate on line ?

Explanation

To solve for for , we have to plug 1 into the variable of the equation and solve for :

4

Consider segment which passes through the points and .

If the point is on , what is the value of y?

Explanation

First, use the points to find the equation of JK:

Given that JK passes through (4,5) and (144,75) we can find the slope as follows:

Slope is found via:

Plug in and calculate:

Next, we need to use one of our points and the slope to find our y-intercept. I'll use (4,5).

So our answer is:

To find y, we need to plug in 16 for x and solve:

5

If is defined as follows, is the point on ?

Yes

No

f(x) is undefined at (-2,5)

Cannot be calculated from the provided information

Explanation

To find out if (-2,5) is on f(x), simply plug the point into f(x)

Becomes,

So yes, it does!

6

Solve for in the coordinate on line ?

Explanation

To solve for for , we have to plug into the variable of the equation and solve for :

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