Finding Intersection of Linear Functions

Finding Intersection of Linear Functions

Assessment

Interactive Video

Mathematics

8th - 10th Grade

Hard

Created by

Jackson Turner

FREE Resource

This video tutorial demonstrates how to find the point of intersection of two linear functions. Initially, the problem is introduced, highlighting the difficulty of graphing due to fractional intercepts. The solution is approached algebraically by setting the functions equal and solving for X. Fractions are cleared using the least common multiple, and the equation is simplified to find the X coordinate. The corresponding Y coordinate is calculated using one of the original functions. The solution is verified graphically, confirming the accuracy of the algebraic method.

Read more

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is it challenging to graph the intersection of the given linear functions?

The lines are vertical.

The x-intercept is a fraction.

The y-intercept is a fraction.

The lines are parallel.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in finding the intersection of the two functions algebraically?

Graph the functions.

Set the functions equal to each other.

Calculate the slope.

Find the y-intercept.

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the least common denominator used to clear fractions in the equation?

2

10

5

20

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

After clearing fractions, what is the next step in solving the equation?

Multiply both sides by 10.

Divide both sides by 2.

Add 16x to both sides.

Subtract 16x from both sides.

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the x-coordinate of the intersection point?

6

9

3

12

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you find the y-coordinate once you have the x-coordinate?

Substitute x into one of the original functions.

Use the slope of the line.

Use the midpoint formula.

Graph the function again.

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the y-coordinate of the intersection point?

5

10

26/5

7/10

Create a free account and access millions of resources

Create resources
Host any resource
Get auto-graded reports
or continue with
Microsoft
Apple
Others
By signing up, you agree to our Terms of Service & Privacy Policy
Already have an account?