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Graph the inequality in two variables y+5<6x+2

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Given the inequality:

y + 5 < 6x + 2

Let's graph the inequality.

Apply the slope intercept form:

y = mx + b

Where m is the slope and b is the y-intercept.

Rewrite the inequality for y.

Subtract 5 from both sides of the inequality:

y + 5 - 5 < 6x + 2 - 5

y < 6x - 3

The inequality in slope-intercept form is:

y < 6x - 3

Let's create two points from the inequality.

The slope is = 6

At the y-intercept, the x-coordinate is 0.

Thus, the y-intercept is:

(0, -3)

When x = 0.5

y < 6(0.5) - 3

y < 3 - 3

y < 0

Thus, we have the points:

(x, y) ==> (0, -3), (0.5, 0)

Plot the points and connect them using dotted lines

Since y is less than 6x + 2, after plotting the graph we are to shade the area below the boundary line.

Thus, we have the graph below:

Graph the inequality in two variables y+5<6x+2-example-1
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