Interpreting Slope from a Graph (3.9.3)

Question 1

• A positive slope indicates that a line rises when viewed from left to right.

Answer 1

• A positive slope indicates that a line rises when viewed from left to right.

Question 2

• A negative slope indicates that a line falls when viewed from left to right.

Answer 2

• A negative slope indicates that a line falls when viewed from left to right.

Question 3

• The steeper a line rises or falls, the larger the absolute value of the slope will be.

Answer 3

• The steeper a line rises or falls, the larger the absolute value of the slope will be.

Question 4

• The slope of a vertical line is said to be undefined because the denominator of its fraction equals 0 which is an undefined
situation in mathematics.

Answer 4

• The slope of a vertical line is said to be undefined because the denominator of its fraction equals 0 which is an undefined
situation in mathematics.

Question 5

• The slope of a horizontal line is said to be 0 because the numerator of its fraction equals 0.

Answer 5

• The slope of a horizontal line is said to be 0 because the numerator of its fraction equals 0.

Question 6

This line has a positive slope because it is tilting upwards
when viewed from left to right.
The greater the tilt, the larger the slope value will be.
The slope for this line is undefined. There is no change left
to right from one point to another on the line. So, when you
subtract the x-values in the denominator, your answer is 0.
The slope of this line is negative because it tilts down when
viewed from left to right. Again, the greater the tilt, the larger
the absolute value for the slope.
The slope for this line is 0. When you subtract the y-values
of any two of its points, you will get 0 because there is no
change up and down from one point to another on this line.

Answer 6

This line has a positive slope because it is tilting upwards
when viewed from left to right.
The greater the tilt, the larger the slope value will be.
The slope for this line is undefined. There is no change left
to right from one point to another on the line. So, when you
subtract the x-values in the denominator, your answer is 0.
The slope of this line is negative because it tilts down when
viewed from left to right. Again, the greater the tilt, the larger
the absolute value for the slope.
The slope for this line is 0. When you subtract the y-values
of any two of its points, you will get 0 because there is no
change up and down from one point to another on this line.