The first equation is a linear function with a slope of 1/2 and a y-intercept of -10-3=-13. Therefore, its graph will be a downward-sloping line that intersects the y-axis at (0,-13).
The second equation is also a linear function, but with a slope of 1 and a y-intercept of 0. Therefore, its graph will be an upward-sloping line that intersects the origin (0,0).
So, comparing the two graphs, we see that they have different slopes and intercepts. The first graph is steeper and intersects the y-axis at a negative value, while the second graph is less steep and passes through the origin.
Describe the graph of
y
=
1
2
x
−
10
−
3
compared to the graph of
y
=
1
x
.
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