7.1
Slope-Intercept Form
Focus on …
identifying the slope
•
and y-intercept of a
straight-line graph
determining a linear
•
equation using slope
and y-intercept
rewriting a linear
•
relation in slope-
intercept form
graphing equations in
•
slope-intercept form
Many relationships can be modelled by the graph of a straight line.
solving problems using
•
For example, a farmer purchases chicken feed pellets by mass, yet
equations in slope-
intercept form
dispenses the feed by volume. When the farmer analyses the feeding
of chickens, the relationship between the volume of feed pellets in
a dispenser and the mass of the feed may be modelled by a linear
equation. Linear equations can be written in different forms. Each
form can provide specifi c information about the graph.
Investigate the Graph of a Linear Equation
Materials
two metre sticks
•
Suspend a metre stick between
1. a)
elastic band
•
two chairs or desks. Attach an
foam cup
•
elastic band across the diameter of
paper clips, string, or
•
tape
a foam cup using paper clips. Loop
length of
apparatus, y
toothpick or
•
the other end of the elastic band
straightened paper clip
around the metre stick. Poke a
six identical marbles
•
toothpick horizontally through the
toothpick
or other items of equal
bottom edge of the cup.
mass
Position another metre stick
b)
ruler
•
vertically beside the suspended cup. Measure the length of
grid paper
•
the apparatus, y, in centimetres, from the top of the elastic
band to the bottom of the cup. Use the toothpick to help you
locate the reading on the metre stick.
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MHR • Chapter 7