Q:

Graph the line with slope -1/3 and y-intercept-3.

Accepted Solution

A:
Answer:The graph in the attached figureStep-by-step explanation:we know thatThe equation of the line into slope intercept form is equal to[tex]y=mx+b[/tex]wherem is the slopeb is the y-interceptIn this problem we have[tex]m=-\frac{1}{3}[/tex][tex]b=-3[/tex]substitute[tex]y=-\frac{1}{3}x-3[/tex]To graph the line find out the interceptsFind the y-interceptThe y-intercept is the value of y when the value of x is equal to zerosoFor x=0[tex]y=-\frac{1}{3}(0)-3=-3[/tex]The y-intercept is the point (0,-3) -----> is a given valueFind the x-interceptThe x-intercept is the value of x when the value of y is equal to zerosoFor y=0[tex]0=-\frac{1}{3}x-3[/tex][tex]x=-9[/tex]The x-intercept is the point (-9,0)Plot the intercepts and join the points to graph the linesee the attached figure