In the following inequality 2x- y≥ –3 the slope-intercept form is y ≤ 2x + 3
The slope-intercept form of a line is a way of representing the equation of a line in a way that the slope of the line and the y-intercept are easily identifiable. The slope of the line is the steepness of the line, and the y-intercept is the place the line crosses the y-axis.
The slope-intercept form is generally represented as;
y = mx + c
where m stands for the slope and c is the y-intercept for the line
Thus, we have in this case ;
2x - y >= - 3
flipping this , we have ;
-y ≥ -3 - 2x
y ≤ 3 + 2x
y ≤ 2x + 3
Therefore, The inequality y ≤ 2x + 3 represents the following inequality 2x- y≥ –3 in slope-intercept form.
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