Question

Draw the graphs of 2x+y=6 and 2x-y +2=0.shade the region bounded by these 2 lines and x-axis
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Answer 1

Answer: see graph

Explanation:

Rewrite each equation in y = mx + b. Then plot the y-intercept (b) and count rise over run (m) to plot the next point. Draw a line through the points.

2x + y = 6 --> y = -2x + 6 --> m = -2, b = 6

2x - y + 2= 0 --> y = -2x +2 --> m = -2, b = 2

Shade the area between the intersection of those two lines and the x-axis.