Linear Equations In "Slope- Y-Intercept" Form Worksheets With Answers - Fpc Math 10 Page 4
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7Math 10 Unit 6
Key
Linear Functions
Name
:______
_______
Lesson Notes: 6.3:
Slope-y-intercept
Form of the Equation for a Linear Function
.
Relate the graph of a linear function to its equation in
LESSON FOCUS:
slope-y-intercept form.
Make Connections
This graph shows a cyclist’s journey where the
distance is measured from her home.
What does the vertical intercept represent?
y-intercept at 10 km is the place where the cyclist
started her journey and it is 10 km from her home.
What does the slope of the line represent?
The slope represents her cycling speed of her journey.
In Chapter 5, we described a linear function in different ways. The linear
function below represents the cost of a car rental.
An equation of the function is:
C = 0.20d + 60
The number, 0.20, is the
rate of
change, or
the slope
of the graph. This is the cost in
$/km
driven. The number, 60, is the
vertical
intercept
of the graph. This is the cost in dollars
that is independent of the distance driven – the
initial cost (fixed
cost) for renting the car.
In general, any linear function can be
described in
slope-intercept
form.
A linear function can be written in the form
y = mx + b, where
m is the slope
of the line
and
b is its
y-intercept.
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