What is the y-intercept of 2 x − 5 y = 35 2x-5y=35 2 x − 5 y = 3 5 ?

( 0 , − 7 ) \left(0,-7\right) ( 0 , − 7 )

( − 7 , 0 ) \left(-7,0\right) ( − 7 , 0 )

( 35 2 , 0 ) \left(\frac{35}{2},0\right) ( 2 3 5 , 0 )

( 0 , 35 2 ) \left(0,\frac{35}{2}\right) ( 0 , 2 3 5 )

2.2 Standard Form of Linear Functions Lesson Slides

6 Slides • 6 Questions

1

2.2 Standard Form of Linear Functions

You will be able to use the x- and y-intercepts of a function to graph a linear equation in standard from

2

3

Multiple Choice

What is the formula for standard form?

1

y=mx+b

2

$y-y_1=m\left(x-x_1\right)$

3

$Ax+By=C$

4

$\frac{rise}{run}$

4

Multiple Choice

Which equation is written in STANDARD form?

1

y=\frac{1}{2}x+2

2

$y-3=-5\left(x+2\right)$

3

$-7x+2y=9$

4

$3x+2=y$

5

Graph in Standard Form

ax+by=c

Find the x-intercept and plot it on the x-axis
Find the y-intercept and plot it on the y-axis
Draw a line throughthe x-intercept and the y-intercept

6

$2x-6y=12$

Find the x-intercept, by letting y = 0.
$2x-6\left(0\right)=12$
$2x-0=12$
$2x=12$
$\frac{2x}{2}=\frac{12}{2}$
$x=6$
Plot a point at (6, 0)

7

$2x-6y=12$

Find the y-intercept, by letting x = 0.
$2\left(0\right)-6y=12$
$0-6y=12$
$-6y=12$
$\frac{-6y}{-6}=\frac{12}{-6}$
$y=-2$
Plot a point at (0, -2)

8

$2x-6y=12$
x-intercept = 6
y-intercept = -2

9

Multiple Choice

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

1

(8, 0)

2

(0, 8)

3

(3, 0)

4

(0, 3)

10

Multiple Choice

What is the y-intercept of

2x-5y=35

?

1

$\left(0,-7\right)$

2

$\left(-7,0\right)$

3

$\left(\frac{35}{2},0\right)$

4

$\left(0,\frac{35}{2}\right)$

11

Multiple Choice

Name the x- and y-intercepts for the equation:
5x - 3y = 15

1

(3, 0) and (0, -5)

2

(0, 3) and (-5, 0)

3

(5, 15) and (15, 3)

4

(0, -3) and (5, 0)

12

Multiple Choice

Which graph represents 2x + 4y = 12?

1

2

3

4

2.2 Standard Form of Linear Functions

You will be able to use the x- and y-intercepts of a function to graph a linear equation in standard from

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