3-1:2: GRAPHING LINEAR EQUATIONS (10-26-23)FIND X & Y INTERCEPT

​WATCH A VIDEO ON X & Y INTERCEPT

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​TO GRAPH A LINEAR EQUATION USING THE STANDARD FORM (Ax + By = C) YOU MUST FIND THE X & Y INTERCEPT

STEPS TO FINDING X & Y INTERCEPT

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​

1) SET THE x = 0

2) SOLVE FOR y

3) WRITE ORDERED PAIR (0,y)​

​TO FIND THE x-INTERCEPT

1) SET THE y = 0

2) SOLVE FOR x​

3) WRITE ORDERED PAIR (x,0)​

​TO FIND THE x-INTERCEPT

​THE x-INTERCEPT IS WHERE THE GRAPH CROSSES THE x-AXIS; THE y-INTERCEPT IS WHERE THE GRAPH CORSSES THE y-AXIS

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Open Ended

FIND THE x-INTERCEPT OF 5y+2x=-30

(HINT: SET y=0 & SOLVE)

Open Ended

FIND THE y-INTERCEPT OF 5y+2x=-30

(HINT: SET x=0 & SOLVE)

Multiple Choice

What is the x intercept of this graph?

• (0,5)

• (5,0)

Multiple Choice

What is the y-intercept for the given graph?

• (3,0)

• (0,3)

• (0, -1)

• (-1,0)

Multiple Choice

What is the y-intercept?

• 7

• 0

• 1

• 2

Multiple Choice

What is the x-intercept?

• 12

• -3

• 8

• 0

Multiple Choice

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

• (-6, 14)

• (2, 38)

• (4, 44)

• (0, 32)

Multiple Choice

What is the y-intercept shown on the graph?

• (0, -2)

• (3, 0)

• (0, 3)

• None of these.

Multiple Choice

Given the list of ordered pairs, what is the y-intercept?

(8,10), (3, -4), (0, 8), (4, -3), (9, 0)

• (8,10)

• (0,8)

• (9,0)

Multiple Choice

Identify the x-intercept of the graph.

• (-4, 0)

• (0, -2)

• (0, -4)

• (-2, 0

Multiple Choice

What is the y-intercept shown on the graph?

• (0, -2)

• (3, 0)

• (0, 3)

• None of these.

Multiple Choice

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

• (8, 0)
• (0, 8)
• (3, 0)
• (0, 3)

Multiple Choice

Identify the graph with a x-intercept of 3 and a y-intercept of - 1

Multiple Choice

X Intercept: (-2,0)

Y Intercept: (0,2)

Which graph includes these intercepts?

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

If chocolate chip cookies cost $3.00 per cookie plus $2 for boxing them up in a decorated box, what would the expression be?

• y = 3 + 2x

• y = 3x + 2

• y = 3x + 2x

• y = 5x

Multiple Choice

Nancy can type 50 words per minute. Look at the table below to write an equation that matches the data.

• m=50 + w

• w= 50m

• w= 50 + m

• m= 50 - w

Multiple Choice

A holiday meal cost $12.50 a person plus a delivery fee of $30. Which equation represents the amount a holiday meal costs(y), including delivery, for x people?

• y = 12.50 + 30x

• y = 30 + 12.50x

• y = 12.50 + 30

• 12.50x = 30

Multiple Choice

What is the equation that represents this relationship?

• y = 1/12x

• y = 12x

• y = 0.6x

• This is not a proportional relationship.

Multiple Choice

Based on the graph, Which of the following statements is TRUE?

• I drove 80 miles every 4 hours

• I drove 160 miles in an hour

• I drove 80 miles every 2 hours

• I drove 240 miles in 4 hours

Multiple Choice

Write the equation for the table.

• y = x + 4

• y = 5x

• y = 4x + 1

• y = x + 5

Multiple Choice

Which statement below accurately represents the graph?

• $100 is earned for each hour worked

• $200 earned for every 2 hours worked is the unit rate

• $500 is earned for every 8 hours worked

• $300 is earned after working 4 hours

Multiple Choice

Determine the missing value in the table.

• 15

• 3

• 1/3

• 9

Multiple Choice

Is the graph linear or non-linear?

• Linear

• Non-linear

Multiple Choice

Is the graph linear or non-linear?

• Linear

• Non-linear

Multiple Choice

What is the y-intercept in the equation x + 2y = 4

• (0, 0)

• (0, 2)

• (4, 0)

• (2, 0)

Multiple Choice

What is the x-intercept of $$2y-4x=-2$$  

• $$\left(\frac{1}{2},0\right)$$  

• $$\left(2,0\right)$$  

• $$\left(4,0\right)$$  

• $$\left(-2,0\right)$$  

Multiple Choice

What is the x-intercept of $$2y=x+5$$  ?

• $$\left(-5,0\right)$$  

• $$\left(5,\ 0\right)$$  

• $$\left(\frac{5}{2},\ 0\right)$$  

• $$\left(\frac{2}{5},0\right)$$  

Multiple Choice

Write in standard form.
y = -3x + 5

• y = -3x + 5

• 3x + y = 5

• 3x - y = 5

• -3x + y = -5