debbiehernandez777 debbiehernandez777
  • 24-05-2024
  • Mathematics
contestada

Explain how the graphs are the same and how they are different for the equations y= 1/4x and y=1/4-5

Respuesta :

onyach02 onyach02
  • 24-05-2024

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).

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