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Chapter 3
Discovery 1
y-Intercepts
Graph each linear equation and label the y-intercept.
1. y  x  5
2. y  x  5
3. y  x  10
4. y  x  10
Write a rule for determining the y-coordinate of the
y-intercept of a graph from its linear equation.
Determining Slope
from a Linear Equation
Chapter 3
Discovery 2
1. Graph the given linear equations in two variables, and label two
integer coordinate points.
a. y  2 x  4
b. y  2 x
1
c. y  x  5
2
2. Determine the slope of each of the proceeding lines.
3. Determine the coefficient of the x-term in each of the equations in
part 1.
Write a rule for determining the slope of the graph from a linear
equation in two variables.
Chapter 3
Discovery 3
Graphing a “Less than or Equal to”
Linear Inequality in Two Variables
Graph the line determined by the equation y  2 x  4.
1. Use Trace to determine the coordinates of points on the line.
a. List two of these ordered pairs.
b. Are the ordered pairs solutions of the inequality y  2 x  4?
2. Clear the trace, and use the free-moving cursor (arrow keys) to
determine ordered pairs above the line.
a. List two of these ordered pairs.
b. Are the ordered pairs solutions of the inequality y  2 x  4?
3. Now use the free-moving cursor (arrow keys) to determine ordered
pairs below the line.
a. List two of these ordered pairs.
b. Are the ordered pairs solutions of the inequality y  2 x  4?
Write a rule for graphing a “less than or equal to” linear inequality.