Graph the inequality. y ≤ 4x + 2
Tell me the Slope of boundary line and Y-Intercept of boundary line.
To graph the inequality y ≤ 4x + 2, we can first graph the boundary line y = 4x + 2 (which represents where y is equal to 4x + 2, not less than or equal to).
To find the slope of the boundary line, we can rewrite the equation in slope-intercept form: y = 4x + 2 can be rewritten as y = mx + b, where m is the slope and b is the y-intercept. Comparing these equations, we see that the slope of the line is m = 4.
To find the y-intercept of the boundary line, we can look at the equation y = 4x + 2 and see that when x is 0, y is 2. So the y-intercept is b = 2.
Now, to graph the inequality y ≤ 4x + 2, we can shade the area below the boundary line. This indicates that any point with a y-value less than or equal to 4 times the x-value plus 2 will satisfy the inequality.
Here's a graph:
