It seems that the endpoints of the segment are (-6, 3) and (-5, -x).
(3 + x)/(-6 + 5) = 1/3
(3 + x)/-1 = 1/3 cross-multiply
9 + 3x = -1 subtract 9 to both sides
3x = -1 - 9
3x = -10 divide by 3 to both sides
x = -10/3.
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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.
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?
The slope changes as the value of x changes. For any point x, the slope is -8x.
Its steepness is the absolute value of its slope.
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.