# SSAT Upper Level Math : Lines

## Example Questions

### Example Question #1 : How To Find The Slope Of A Line

What is the slope of a line running through points and ?

Explanation:

The slope is equal to the difference between the y-coordinates divided by the difference between the x-coordinates.

Use the give points in this formula to calculate the slope.

### Example Question #41 : Lines

Find the slope of the line that goes through the points

Explanation:

Use the following formula to find the slope:

Plug in the given points to find the slope.

### Example Question #311 : Ssat Upper Level Quantitative (Math)

Which of the following points is on both the line

and the line

Explanation:

In the multiple choice format, you can just plug in these points to see which satisfies both equations.  and  work for the first but not the second, and  and  work for the second but not the first. Only  works for both.

Alternatively (or if you were in a non-multiple choice scenario), you could set the equations equal to each other and solve for one of the variables. So, for instance,

and

so

Now you can solve and get . Plug this back into either of the original equations and get .

### Example Question #42 : Lines

A line has the equation . Which of the following points lies on the line?

Explanation:

Plug the x-coordinate of an answer choice into the equation to see if the y-coordinate matches with what comes out of the equation.

For ,

### Example Question #2 : How To Find Out If A Point Is On A Line With An Equation

Which of the following points lies on the line with equation ?

Explanation:

To find which point lies on the line, plug in the x-coordinate value of an answer choice into the equation. If the y-coordinate value that comes out of the equation matches that of the answer choice, then the point is on the line.

For ,

So then,  lies on the line.

### Example Question #43 : Lines

Which of the following points lies on the line with the equation ?

Explanation:

To find if a point is on the line, plug in the x-coordinate of the answer choice into the given equation. If the resulting value for the y-coordinate matches that of the answer choice, then that point is on the line.

For ,

### Example Question #3 : How To Find Out If A Point Is On A Line With An Equation

Which of the following points lies on the line with the equation ?

Explanation:

To find if a point is on the line, plug in the x-coordinate of the answer choice into the given equation. If the resulting value for the y-coordinate matches that of the answer choice, then that point is on the line.

For ,

### Example Question #4 : How To Find Out If A Point Is On A Line With An Equation

Which of the following points lies on the line with the equation ?

Explanation:

To find if a point is on the line, plug in the x-coordinate of the answer choice into the given equation. If the resulting value for the y-coordinate matches that of the answer choice, then that point is on the line.

For ,

### Example Question #44 : Lines

Which of the following points lies on the line with the equation ?

Explanation:

To find if a point is on the line, plug in the x-coordinate of the answer choice into the given equation. If the resulting value for the y-coordinate matches that of the answer choice, then that point is on the line.

For ,

### Example Question #45 : Lines

Which of the following points is on the line with the equation ?