Q:

describe what happens to the graph of y=3x + 4 when the slope is changed 1/3 one over three

Accepted Solution

A:
Answer:see the explanationThe graph in the attached figureStep-by-step explanation:we have[tex]y=3x+4[/tex]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=3If the slope is changed to m=1/3we have[tex]y=(1/3)x+4[/tex]This is a linear equation too (the graph is a line)The y-intercept is the point (0,4) ---> is the sameThe x-intercept is the point (-12,0) ---> the x-intercept is differentThe slope is m=1/3The second line becomes a lot less steepRemember that the slope is the ratio between the rise and the runIn the first line the ratio rise/run is 4/1In the second line the ratio rise/run is 1/3see the attached figure to better understand the problem