Q:

Which graph represents a linear function that has a slope of 0.5 and a y-intercept of 2?mc008-1.jpmc008-2.jpmc008-3.jpmc008-4.jpskskskkskskskD

Accepted Solution

A:
Answer:The graph in the attached figureStep-by-step explanation:we know thatThe equation of the line in 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=0.5\\b=2[/tex]substitute[tex]y=0.5x+2[/tex]The easiest way to graph a line is with a pair of points.Find the interceptsThe y-intercept is given ----> point (0,2)The x-intercept is the value of x when the value of y is equal to zeroFor y=0[tex]0=0.5x+2[/tex][tex]x=-4[/tex]soThe x-intercept is the point (-4,0)Plot the intercepts and join the points to graph the lineusing a graphing toolThe graph in the attached figure