Download 7-1-slope-intercept-form-of-linear-equations-key

7.1 Slope-Intercept Form of a Linear Equation
For the equations below, make a table of values and then graph.
a) y  2 x  1
x
y
What is the slope of the graph?
Where does the graph touch the yaxis?
b) y 
1
x3
2
x
y
What is the slope of the graph?
Where does the graph touch the yaxis?
c) y 
3
x2
2
x
y
What is the slope of the graph?
Where does the graph touch the yaxis?
Ex: Graph the following equations without making a table of values.
2
a) y 
b) y  3x  5
x4
3
We like linear equations in the form above since we can easily determine ___________ and the
______________________ and so we can graph easily.
This form of a linear equation is known as _________________________ form.
It is written in the form:
y = mx + b ;
where x and y are the variables that represent real numbers and m is the slope of the line and b is
the y-intercept of the line.
The equation of almost every linear relation can be written in slope-intercept form.
Ex: What is the slope and y-intercept of the following equations?
5
x 8
a) y  5 x  6
b) y 
c) 3x  2 y  6  0
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Ex: Write an equation in slope-intercept form given the slopes and y-intercepts below.
2
a) slope = -2, y-intercept = 15
b) m 
,b=0
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d) 4 x  5 y  6