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LESSON 3–1
Graphing Linear Equations
Over Chapter 2
Translate three times a number decreased by eight
is negative thirteen into an equation.
Over Chapter 2
Solve –24 + b = –13.
Over Chapter 2
Solve
for b.
Targeted TEKS
A.2(B) Write linear equations in two variables in
various forms, including y = mx + b, Ax + By = C,
and y - y1 = m(x - x1), given one point and the slope
and given two points.
A.3(C) Graph linear functions on the coordinate
plane and identify key features, including x-intercept,
y-intercept, zeros, and slope, in mathematical and
real-world problems. Also addresses A.2(A).
Mathematical Processes
A.1(E), A.1(F)
You represented relationships among quantities
using equations.
• 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 = xy + 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.
B. Determine whether 8y –xy = 7 is a linear equation.
Write the equation in standard form.
Find Intercepts from a Graph
Find the x- and y-intercepts of
the segment graphed.
Interpret the intercepts if the x-axis was labeled
months and the y-axis was labeled loan amount.
Find the x- and y-intercepts of
the graphed segment.
Interpret the intercepts if the x-axis was labeled time
in seconds a candle was burning and the y-axis was
labeled height of candle in centimeters.
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.
B. Describe what the intercepts
in the previous problem mean.
ANALYZE TABLES Jules has a gas card
for a local gas station. The table shows the
function relating the amount of money on
the card and the number of times he has
stopped to purchase gas.
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.
Graph by Using Intercepts
Graph 4x – y = 4 using the x-intercept and the
y-intercept.
Graph 2x + 5y = 10 using the intercepts?
Graph by Making a Table
Graph y = 2x + 2.
Is this the correct graph for y = 3x – 4?
LESSON 3–1
Graphing Linear Equations