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What do you know about the slope when x equals 0?
Without an equation, you know nothing about the slope of a line just because x equals 0. Slope is the change in y value divided by the change in x value over a segment of a line. When you only have a single x value, there is no change so the slope is undefined. Or if you are stating the value of x is 0 for all values of y, then the slope is infinite.
What is the value of x in the line segment of 3 plus x and 6 plus 5 with a slope of one third showing work?
Slope: (5-x)/(-6-3) => (5-x)/-9 =1/3 Multiply both sides by -9 and then subtract 5 from both sides -x = -8 x = 8 * * * * * The above answer assumes, for example, that "3 plus x" represents that ordered pair (3,x). Can that assumption be justified?
What is the slope of -4x2?
The slope changes as the value of x changes. For any point x, the slope is -8x.
What can you determine about the steepness of a line in terms of its slope?
Its steepness is the absolute value of its slope.
Is slope the same as initial value?
No, slope and initial value are not the same. The slope refers to the steepness or incline of a line on a graph, whereas the initial value represents the y-coordinate of the point where the line intersects the y-axis.
