Question 1057102: Hi Tutors,
Graph:
y−4x≥−1
Answer by solve_for_x(190)   (Show Source):
You can put this solution on YOUR website! You can graph this by rearranging it into the y = mx + b format.
Adding 4x to both sides gives:
y ≥ 4x - 1
The boundary line of this region will be represented by the line:
y = 4x - 1
To plot this line, find the x and y intercepts.
Setting x = 0 gives y = -1, so the y-intercept is (0, -1)
Setting y = 0 gives x = 1/4, so the x-intercept is (1/4, 0)
Plot those two points.
Since the relation in the inequality includes equality (i.e. ≥ instead of just >), you want to connect the two intercept points with a solid line.
Finally, since the inequality relation includes the "greater than" condition, you need to shade the region that is above the line that you drew.
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