Answer:
Similarities:
Slope: Both equations have the same slope. The coefficient of
x in both equations is
1
4
4
1
. This means both lines rise 1 unit for every 4 units they move to the right. Therefore, the steepness and direction (angle) of the lines are the same.
Differences:
Y-Intercept:
For
=
1
4
y=
4
1
x:
The y-intercept is 0. This means the line crosses the y-axis at the point (0, 0).
For
=
1
4
−
5
y=
4
1
x−5:
The y-intercept is -5. This means the line crosses the y-axis at the point (0, -5).
