Bell Work:
1. What is the slope of the line that
passes through (-4, 8) and (5, 2).
2. Find the next two terms in the
arithmetic sequence.
-7, -4, -1, 2,…
3.
Is this a linear function
represented by the table?
4.1 Graphing Equations in Slope-Intercept Form
Recall: so far we’ve defined standard form as Ax + By = C.
Example: 4x + 2y = 6
Slope-Intercept form is y = mx + b.
m = slope
b = y-intercept
Example #1: Rearrange 4x + 2y = 6 to put it in slope-intercept form.
Example #2: Write the equation of a line in slope-intercept form with slope of ¾ and
y-intercept of -2. Then graph the equation.
Summary of the ways we can graph linear equations
 Find intercepts and connect the dots.
 Make a table of values and connect the dots.
 Put it in slope-intercept form and graph the y-intercept and use the slope.
Example #3: Graph 3x + 2y = 6.
Example #4: Find the slope and y-intercept of y = 3.
Then graph it.
Example #5: Write the equation (in slope-intercept form) of the graph.
Example #6: In 1997, about 2.6 million girls competed in high school sports. The number of
girls competing in high school sports has increased by an average of .06 million per year
since 1997.
(a) Write a linear equation to model this.
(b) What does the y-intercept mean in this situation?
(c) Graph the equation.
(d) Estimate the number of girls competing in 2017.
Homework:
4.1 (pg. 220-221) #18,20,24,26,36,37,44,50