Y=mx+b (-3,6)
6
Vestigating Slope and y-intercept
The graph of every nonvertical line crosses the y-axis. The y-interceptis
the y-coordinate of the point where the graph intersects the y-axis. The
x-coordinate of this point is always 0.
The graph represents the linear equation y=-}x+4.
STEP 1 Find the slope of the line using the points (0,4)
and (-3,6).
6- 4
2
-3-0 -3
The line also contains the point (6, 0). What is
the slope using (0,4) and (6,0)? Using (-3,6)
and (6,0). What do you notice?
10.45
m
2
o
6
2
4
-2
STEP 2
STEP 3 Compare your answers in Steps 1 and 2 with the equation of the
graphed line.
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STEP 4 Find the value of y when x = 0 using the equation y =
= - 2 x +4.
Describe the point on the graph that corresponds to this solution.
STEP 5
Compare your answer in Step 4 with the equation of the line.