Graphing using Intercepts

Presentation

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Mathematics

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9th Grade

•

Practice Problem

•

Medium

•

CCSS

HSA.REI.D.10, HSF.IF.B.4, HSS.ID.C.7

Standards-aligned

Brittany Stout

Used 115+ times

FREE Resource

9 Slides • 15 Questions

Graphing using Intercepts

The coordinate plane

There are 4 quadrants in the coordinate plane.

The point (0,0) is called the origin.

When plotting a point, always start with the x value first. (x, y)

Linear Equations

A linear equation is an equation that forms a line when graphed on a coordinate plane.

y=3x+1

y=x+2

X and Y intercepts

An x intercept is where the line crosses the x-axis. The y value for an x intercept is 0.

A y intercept is where the line crosses the y-axis. The x value for a y intercept is 0.

Multiple Choice

Which graph shows the correct location for (2, -2)?

Multiple Choice

Given the list of ordered pairs, what is the x-intercept?
(8,10), (3, -4), (0, 8), (4, -3), (9, 0)

(8,10)

8, 3, 0, 4, 9

(0,8)

(9,0)

Multiple Choice

Given the table of values, which point is a y-intercept?

-6

Multiple Choice

Given the list of ordered pairs, what is the x-intercept?
(8,10), (3, -4), (0, 8), (4, -3), (9, 0)

(8,10)

8, 3, 0, 4, 9

(0,8)

(9,0)

Multiple Choice

Given the list of ordered pairs, identify the y-intercept.
(1, 3), (9,10), (0, -4), (8, 9), (4, 0)

(1,3)

(0,-4) and (4,0)

(0,-4)

3, 10, -4, 9, 0

Multiple Choice

What is the y-intercept for the given graph?

-5

-1

Multiple Choice

^{What is the x- intercept of the line?}

(1, 0)

(2, 0)

( -1, 0)

(-2, 0)

Graphing a linear equation using the x and y intercepts:

Find the x and y intercepts.

Plot the x-intercept on the x axis.

Plot the y-intercept on the y axis.

Connect the two points with a straight line. Don't forget to put arrows on the end of the lines!

USE DESMOS

go to desmos.com

graph (0, 1)

graph (-4, 0)

How to find intercepts from a linear equation:

To find the x intercept, plug in 0 for y.

To find the y intercept, plug in 0 for x.

Example: Find the x and y intercepts for the equation y=2x+4

To find the x intercept, plug in 0 for y.

y= 2x + 4

0= 2x + 4

Solve.

Example: Find the x and y intercepts for the equation y=2x+4

To find the y intercept, plug in 0 for x.

y= 2x + 4

y= 2(0) + 4

Solve.

Multiple Choice

Give the x-intercept
3x + 8y = 24

(8, 0)

(0, 8)

(3, 0)

(0, 3)

Multiple Choice

Give the y-interecept
3x + y = 5

(-3, 0)

(0,5)

(-5, 0)

(0, -3)

Multiple Choice

What is the x-intercept of
x+4y=7?

(7/4, 0)

(0, 7/4)

(7, 0)

(0,7)

Multiple Choice

What are the x- intercepts of the graph of 3x+4y=24

-8

-6

Multiple Choice

Name the x- and y-intercepts for the equation:
2x - y = 6

(0, 3) and (-6, 0)

(0, -3) and (-6, 0)

(3, 0) and (0, -6)

(-3, 0) and (0, -6)

Multiple Choice

Graph

Multiple Choice

Graph

Multiple Choice

Graph x + y = 3

Graphing using Intercepts

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