Blitzer 2.4 Math 152 Linear Functions Slope Worksheet

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Math 152 — Rodriguez
Blitzer — 2.4
Linear Functions and Slope
I. Linear Functions
1. A linear equation is an equation whose graph is a straight line.
2. A linear equation in standard form:
Ax +By=C
ex: 4x−6y=12
3. A linear equation in slope-intercept form: y = mx + b,
slope m;
y-intercept (0,b)
4. A linear function is written as:
f(x) = mx + b
II. Graphing Linear Equations using Intercepts
A. The x-intercept of graph is the point where the graph intersects the x-axis. It is the
point (x, 0).
B. The y-intercept of graph is the point where the graph intersects the y-axis. It is the
y
point (0, y).
x
C. To graph a line using intercepts:
1. Find the x-intercept by letting y = 0 and solving for x.
2. Find the y-intercept by letting x = 0 and solving for y.
3. Find a checkpoint by choosing a value for x (or y) and solving for y (or x).
4. Plot the points you found above. Draw a straight line through them.
Example: Use intercepts and a checkpoint to graph.
4x − 6y = 12

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