consistent and dependent - Graph the system of equations y = 4x+2 and y = 4x. Answer if the given set of equations are consistent and dependent ; consistent and independent or inconsistent

Sangeetha Pulapaka (last edited 3 years ago) (Expert, Educator @Qalaxia)

STEP 1: Recall what the terms consistent and dependent, consistent and independent or inconsistent mean

STEP 2: Recall how to graph the system of equations on the same axis.

Graph y = 4x + 2

Plot the x and the y-intercepts

Plot (\frac{-1}{2},0) and (0,2)

STEP 3: Graph y = 4 x

Plot the x and the y-intercepts

Plot the point (0,0) which is nothing but the origin and draw a line through it

Since both the lines are parallel, this means the system of equations is inconsistent.

Skills you may want to recall:

What is a system of linear equations