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Mr. Borosky
Section 2.3
Algebra 2
2.3 Graph Equations Of Lines p. 89-97
Objective: 1. You will graph linear equations in slope intercept or
Standard Form.
Parent Function – the most basic function in a family (group of
functions with shared characteristics. The Parent function for
LINEAR FUNCTIONS is f(x) = x
which is graphed on p. 89.
y-Intercept – where the graph crosses the y-axis.
of y when x = 0. It is the ordered pair (0,y).
It is the value
Slope Intercept Form - equation of a line in the form y = mx + b,
where m = slope and b = y intercept.
Steps to graph a line using Slope Intercept Form.
1. Write the equation in Slope Intercept Form (Solve for y)
2. Identify the y-intercept, “b”, and use it to plot the point
(0,b) or (0,y). This point is ON the y-axis.
3. Identify the slope, “m”, and use it to find additional points
by using the RISE over the RUN.
4. Draw a line through the points. (You need at least 3 points)
Standard Form – equation of a line in the form Ax + By = C where A,
B, and C are integers. If you have fractions, multiply by the
common denominator to get rid of them.
x-Intercept – where the graph crosses the x-axis.
of x when y = 0. It is the ordered pair (x,0).
It is the value
Steps to graph a line using Standard Form.
1. Write an equation in Standard Form
2. Identify the x-Intercept by plugging in 0 for y and solving for
x. Plot the point (x,0).
3. Identify the y-Intercept by plugging in 0 for x and solving for
y. Plot the point (0,y).
4. Draw a line through the points.
Every line can be written in Standard Form, but Vertical lines
cannot be written in Slope Intercept Form.
Horizontal Lines – the graph of y = #
Vertical Lines – the graph of x = #
2.3 Graph Equations Of Lines p. 89-97
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