Question

slope is the blank of a line. it is also known as the blank rate of change. if a line is slanting upwards we say it has a blank slope. if a line is slanting downwards we say it has a blank slope. a slope of zero means the line is blank. an undefined slope means the line is blank. all straight line graphs are known as blank relationships. to find the slope of a line we use the formula blank over blank. options: run, positive, constant, linear, steepness, vertical, horizontal, rise, negative

Explanation:

To solve this fill - in - the - blank about slope, we analyze each blank based on the concepts of slope:

1. First blank:

Slope is defined as the steepness of a line. So the first blank should be filled with "steepness".

2. Second blank:

Slope is also known as the constant rate of change (for linear functions). So the second blank is "constant".

3. Third blank:

When a line slants upwards from left to right, it has a positive slope. So the third blank is "positive".

4. Fourth blank:

When a line slants downwards from left to right, it has a negative slope. So the fourth blank is "negative".

5. Fifth blank:

A slope of zero means the line is horizontal (since for a horizontal line, the change in \(y\) (rise) is zero, and slope \(m=\frac{\text{rise}}{\text{run}}\), so \(m = 0\)). So the fifth blank is "horizontal".

6. Sixth blank:

An undefined slope means the line is vertical (because for a vertical line, the change in \(x\) (run) is zero, and division by zero is undefined in the slope formula \(m=\frac{\text{rise}}{\text{run}}\)). So the sixth blank is "vertical".

7. Seventh blank:

All straight - line graphs represent linear relationships. So the seventh blank is "linear".

8. Eighth and Ninth blanks:

The formula to find the slope of a line is \(\frac{\text{rise}}{\text{run}}\), so the eighth blank is "rise" and the ninth blank is "run".

Final Answers (filling the blanks in order):

1. steepness
2. constant
3. positive
4. negative
5. horizontal
6. vertical
7. linear
8. rise
9. run

Answer:

To solve this fill - in - the - blank about slope, we analyze each blank based on the concepts of slope:

1. First blank:

Slope is defined as the steepness of a line. So the first blank should be filled with "steepness".

2. Second blank:

Slope is also known as the constant rate of change (for linear functions). So the second blank is "constant".

3. Third blank:

When a line slants upwards from left to right, it has a positive slope. So the third blank is "positive".

4. Fourth blank:

When a line slants downwards from left to right, it has a negative slope. So the fourth blank is "negative".

5. Fifth blank:

A slope of zero means the line is horizontal (since for a horizontal line, the change in \(y\) (rise) is zero, and slope \(m=\frac{\text{rise}}{\text{run}}\), so \(m = 0\)). So the fifth blank is "horizontal".

6. Sixth blank:

An undefined slope means the line is vertical (because for a vertical line, the change in \(x\) (run) is zero, and division by zero is undefined in the slope formula \(m=\frac{\text{rise}}{\text{run}}\)). So the sixth blank is "vertical".

7. Seventh blank:

All straight - line graphs represent linear relationships. So the seventh blank is "linear".

8. Eighth and Ninth blanks:

The formula to find the slope of a line is \(\frac{\text{rise}}{\text{run}}\), so the eighth blank is "rise" and the ninth blank is "run".

Final Answers (filling the blanks in order):

1. steepness
2. constant
3. positive
4. negative
5. horizontal
6. vertical
7. linear
8. rise
9. run