B. Determine whether is a linear equation. Write the equation in
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Transcript B. Determine whether is a linear equation. Write the equation in
You represented relationships among quantities
using equations. (Lesson 2–1)
• Identify linear equations, intercepts, and
zeros.
• Graph linear equations.
• linear equation
• standard form
• Constant
• x-intercept
• y-intercept
Identify Linear Equations
A. Determine whether 5x + 3y = z + 2 is a linear
equation. Write the equation in standard form.
Identify Linear Equations
B. Determine whether
is a linear equation.
Write the equation in standard form.
A. Determine whether y = 4x – 5 is a linear equation.
Write the equation in standard form.
A.
B.
C.
D.
A
B
C
D
B. Determine whether 8y –xy = 7 is a linear equation.
Write the equation in standard form.
A.
B.
C.
D.
A
B
C
D
Find the x- and y-intercepts of
the segment graphed.
A x-intercept is 200; y-intercept is 4
B x-intercept is 4; y-intercept is 200
C x-intercept is 2; y-intercept is 100
D x-intercept is 4; y-intercept is 0
Find the x- and y-intercepts of
the graphed segment.
A.
B.
C.
D.
A
B
C
D
Find Intercepts
ANALYZE TABLES A box of peanuts
is poured into bags at the rate of
4 ounces per second. The table shows
the function relating to the weight of
the peanuts in the box and the time in
seconds the peanuts have been
pouring out of the box.
A. Determine the x- and y-intercepts
of the graph of the function.
Find Intercepts
B. Describe what the intercepts in the previous
problem mean.
ANALYZE TABLES Jules has a food card
for Disney World. The table shows the
function relating the amount of money on
the card and the number of times he has
stopped to purchase food.
0%
C
0%
B
A
0%
A.
B.
C.
D.
A
B
C
D
0%
D
A. Determine the x- and y-intercepts of
the graph of the function.
B. Describe what the y-intercept of 125 means in the
previous problem.
A.
B.
C.
D.
A
B
C
D
Graph by Using Intercepts
Graph 4x – y = 4 using the x-intercept and the
y-intercept.
Graph by Using Intercepts
• To find the y-intercept, let x = 0.
• To find the x-intercept, let y = 0.
Graph by Using Intercepts
Answer:
Is this the correct graph for 2x + 5y = 10?
A. A
B. B
Graph by Making a Table
Graph y = 2x + 2.
Select values from the domain and make a table. Then
graph the ordered pairs. The domain is all real numbers,
so there are infinite solutions. Draw a line through the
points.
Answer:
Is this the correct graph for y = 3x – 4?
A. A
B. B