Best Answer

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

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The above answer assumes, for example, that "3 plus x" represents that ordered pair (3,x). Can that assumption be justified?

Q: 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?

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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.

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.

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.

Related questions

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.

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.

What does it mean if a slope is numerically a higher value than another slope

The slope is[ (y-value of 'b') - (y-value of 'a') ] / [ (x-value of 'b') - (x-value of 'a') ]

The slope of a graph showing slow speed would be gentle or gradual. This indicates that there is a small change in the dependent variable over a given interval of the independent variable.

The slope changes as the value of x changes. For any point x, the slope is -8x.

Your Y value divided by your X value.

A negative slope is a slope occurs whenever an increase in the x value of the equation of a line causes the y value to decrease. If you're looking at the graph, the line with slope downwards from left to right.

If: (x-5)/(3--6) = 1/3 Then: (x-5)/9 = 1/3 Multiply both sides by 9: x-5 = 3 => x = 3+5 Therefore: x = 8

a positive slope is a slope which increases in value "y" as well as its value for "x" i.e. (0,0)(2,2) would be listed as positive because the values increase olong the slope of the line

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.