50.8k views
4 votes
Describe what happens to the graph of y=3x + 4 when the slope is changed 1/3 one over three

User Erotavlas
by
7.9k points

1 Answer

3 votes

Answer:

see the explanation

The graph in the attached figure

Explanation:

we have


y=3x+4

This is a linear equation (the graph is a line)

The y-intercept is the point (0,4) ---> value of y when the value of x is equal to zero)

The x-intercept is the point (-4/3,0) ---> value of x when the value of y is equal to zero)

The slope is m=3

If the slope is changed to m=1/3

we have


y=(1/3)x+4

This is a linear equation too (the graph is a line)

The y-intercept is the point (0,4) ---> is the same

The x-intercept is the point (-12,0) ---> the x-intercept is different

The slope is m=1/3

The second line becomes a lot less steep

Remember that the slope is the ratio between the rise and the run

In the first line the ratio rise/run is 4/1

In the second line the ratio rise/run is 1/3

see the attached figure to better understand the problem

Describe what happens to the graph of y=3x + 4 when the slope is changed 1/3 one over-example-1
User TerrorAustralis
by
7.7k points