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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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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?


How do you find third point of line out of 2 points?

To find a third point on a line defined by two points, you can use the formula for the line's slope. First, calculate the slope (m) using the two points (x1, y1) and (x2, y2) with the formula ( m = (y2 - y1) / (x2 - x1) ). Then, using the slope, you can find a third point by choosing a value for x (or y) and using the line equation ( y - y1 = m(x - x1) ) to solve for the corresponding y (or x) value. This will give you a third point that lies on the same line.


What is the slope of -4x2?

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


Is a negative slope steeper than a posotive slope?

In general, the steepness of a slope is determined by its absolute value, not the sign. A negative slope indicates a downward trend, while a positive slope indicates an upward trend. If both slopes have the same absolute value, they are equally steep, but a negative slope will visually appear to descend, while a positive slope will ascend. Thus, a steeper slope can be negative or positive, depending on its absolute value.

Related Questions

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 a line that passes through a and b?

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


How do you find third point of line out of 2 points?

To find a third point on a line defined by two points, you can use the formula for the line's slope. First, calculate the slope (m) using the two points (x1, y1) and (x2, y2) with the formula ( m = (y2 - y1) / (x2 - x1) ). Then, using the slope, you can find a third point by choosing a value for x (or y) and using the line equation ( y - y1 = m(x - x1) ) to solve for the corresponding y (or x) value. This will give you a third point that lies on the same line.


What does it mean if a slope is numerically a higher value than another slope what are some examples in the real world?

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


How do you get a slope?

Your Y value divided by your X value.


What is the slope of -4x2?

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


How would you describe the slope of a graph showing slow speed?

Im guessing that this is a distance over time graph. if so, the gradient of the line of best fit would have a low value. (not be very steep)


What is an negative slope?

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.


Is a negative slope steeper than a posotive slope?

In general, the steepness of a slope is determined by its absolute value, not the sign. A negative slope indicates a downward trend, while a positive slope indicates an upward trend. If both slopes have the same absolute value, they are equally steep, but a negative slope will visually appear to descend, while a positive slope will ascend. Thus, a steeper slope can be negative or positive, depending on its absolute value.


What can you determine about the steepness of a line in terms of its slope?

Its steepness is the absolute value of its slope.


How does the numerical value of slope describe the slant and steepness of a line?

The numerical value of the slope indicates how steep a line is and the direction it slants. A positive slope means the line rises as it moves from left to right, while a negative slope indicates it falls. The greater the absolute value of the slope, the steeper the line; for example, a slope of 3 is steeper than a slope of 1. A slope of zero represents a horizontal line, while an undefined slope corresponds to a vertical line.