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Slide 1
Objective: Use slope-intercept form and standard form to graph
equations. 2.4 Quick Graphs of Linear Equations
Slide 2
Vocabulary y-intercept: the y-coordinate of a point where a
graph intersects the y-axis Where the graph crosses the y-axis
Slope-intercept form: a linear equation of the form y=mx+b
Slide 3
Graphing Equations in Slope-Intercept Form 1. Write the
equation in slope-intercept form by solving for y. 2. Find the
y-intercept and plot the corresponding point. 3. Find the slope and
use it to plot a second point on the line. 4. Draw a line through
the two points.
Slide 4
Use Slope-Intercept to Graph a Line
Slide 5
Graph y=-2x+2
Slide 6
Graph
Slide 7
Use Slope-Intercept Form to Graph a Line Graph
Slide 8
Slide 9
Standard Form An x-intercept is the x-coordinate of a point
where a graph intersects the x-axis. Every linear equation can be
written in the standard form Ax + By = C where A and B are not both
zero.
Slide 10
Graphing Equations in Standard Form 1. Write the equation in
standard form. 2. Find the x-intercept by letting y=0 and solving
for x. Plot the corresponding point. 3. Find the y-intercept by
letting x=0 and solving for y. Plot the corresponding point. 4.
Draw a line through the two points.
Slide 11
Graph Using Standard Form
Slide 12
Graph 3x+2y=12
Slide 13
Graph x + y = 7
Slide 14
Graph 5x+2y=10
Slide 15
Parallel and Perpendicular Lines Two lines are parallel if they
lie in the same plane and never intersect. Two lines are
perpendicular if they intersect to form a right angle.
Slide 16
Slopes of Parallel & Perpendicular Lines The lines are
parallel if and only if they have the same slope. m 1 = m 2 The
lines are perpendicular if and only if their slopes are negative
reciprocals of each other. m 1 = 2 m 2 =