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Question 1017573: what is the value of k to make the equation y=2x+k increasing?
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! your equation is in the form of y = mx + b
m is the slope.
b is the y-intercept.
any value of k will do because it's the slope that determines whether the equation is increasing or decreasing.
the y-intercept only tells you the value of y when x is equal to 0.
that's the point where the graph crosses the y-axis.
the slope tells you whether the line is going up or down as it goes to the right.
if the slope is positive, then the line is increasing from left to right.
if the slope is negative, then the line is decreasing from left to right.
if the slope is zero, then the line is parallel to the x-axis and neither increasing or decreasing.
if the slope is undefined, then you have a vertical line.
since that line doesn't go from left to right, then whether it is increasing or decreasing from left to right doesn't appear to apply.
the value of k in the equation you showed has no impact on whether the line is increasing or decreasing from left to right.
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