Graphing linear functions using x- and y-intercepts - Linear Functions

Graphing linear functions using x- and y-intercepts

One of the ways to graph a linear function is by using the x-and y-intercepts. If we know any two points of a straight line, it's just a piece of cake to determine its equation and graph. In order to do that, we need to find out those intercepts by solving the function first.

Basic concepts:
Slope equation: $m = \frac{y_2-y_1}{x_2- x_1}$
Slope intercept form: y = mx + b

Lessons

Notes:

• To find the x-intercept, we plug in $y=0$ into the equation.
• To find the y-intercept, we plug in $x=0$ into the equation.

1.
Determine The Graph of a Function
Graph the following functions using the X-int & Y-int
2.
Determine The Graph of a Function in Standard Form
Graph the following functions using the x- and y-intercepts:

Graphing linear functions using x- and y-intercepts

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AlgebraSlope equation: m=y2−y1x2−x1m = \frac{y_2-y_1}{x_2- x_1}m=​x​2​​−x​1​​​​y​2​​−y​1​​​​

AlgebraSlope intercept form: y = mx + b

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Slope equation: m=y2−y1x2−x1m = \frac{y_2-y_1}{x_2- x_1}m=​x​2​​−x​1​​​​y​2​​−y​1​​​​

Slope intercept form: y = mx + b

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Lessons

Notes:

• To find the x-intercept, we plug in y=0y=0y=0 into the equation. • To find the y-intercept, we plug in x=0x=0x=0 into the equation.

Intro Lesson

Introduction to graphing linear functions using x- and y-intercepts i) What are x- and y-intercepts? ii) How to find the intercepts?

1.

Determine The Graph of a Function Graph the following functions using the X-int & Y-int

a)

y=2x+7y = 2x + 7y=2x+7

b)

3y=5x−63y = 5x - 63y=5x−6

c)

y=23x+4y = \frac{2}{3}x +4y=​3​​2​​x+4

2.

Determine The Graph of a Function in Standard Form Graph the following functions using the x- and y-intercepts:

a)

−2x+3y=6 -2x+3y=6 −2x+3y=6

b)

x−y=4 x-y=4 x−y=4

Graphing linear functions using x- and y-intercepts

Don't just watch, practice makes perfect.

We have over 1850 practice questions in Algebra for you to master.

Algebra
Slope equation: $m = \frac{y_2-y_1}{x_2- x_1}$

Algebra
Slope intercept form: y = mx + b

Slope equation: $m = \frac{y_2-y_1}{x_2- x_1}$

or

• To find the x-intercept, we plug in $y=0$ into the equation.
• To find the y-intercept, we plug in $x=0$ into the equation.

Introduction to graphing linear functions using x- and y-intercepts
i) What are x- and y-intercepts?
ii) How to find the intercepts?

Determine The Graph of a Function
Graph the following functions using the X-int & Y-int

$y = 2x + 7$

$3y = 5x - 6$

$y = \frac{2}{3}x +4$

Determine The Graph of a Function in Standard Form
Graph the following functions using the x- and y-intercepts:

$-2x+3y=6$

$x-y=4$