Slope Intercept Form

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Transcript Slope Intercept Form

Slope Intercept Form
Y intercept

The y-intercept is
the point where a
line crosses the y
axis.

At this point the
value of x is 0.
Y intercept
 To
find the yintercept, plug 0 in
for x in the linear
equation and solve
for y.
 y=3x-6
(0, -6)
Slope




y=3x-6
To find the slope first
find 2 points.
(2, 0) and (0, -6)
Then substitute in and
solve
Slope Intercept Form
 y=mx
m
+b
is
 b is the
Slope Intercept Form
y=3x-6
The slope is
The y intercept is
Slope Intercept Form
To graph y=3x-6
Plot (0, -6)
 then count slope
 Up 3 right 1
 Connect your
points to make a
line.

Writing an Equation
Write the equation of the line with slope 3/8
and y-intercept 5.
Use slope intercept form:
Substitute in for m and b
You Try
Write the equation of a line with slope -.5
and y-intercept -3
y=
Write the equation of a line with slope 4 and
y-intercept -5/2.
y=
You Try
Identify the slope and y intercept.
y = -5x + 13
Slope:
Y-Intercept:
Identify the slope and y intercept.
y = 1/4x – 2
Slope:
Y-Intercept:
Writing an Equation
Write the equation of the line with slope 2
That passes through pt. (1, 4).
 Use slope intercept form: y = mx + b
 Substitute in for m
 Substitute in your points
values for x and y
 Solve for b
 Use slope intercept form
and substitute in b and m
You Try
Write the equation of a line with slope -3
that passes through pt. (2, 5)