Find the slope of the line that passes through

−6, -1
and
−1, 5
. Write your answer in simplest form.

Select "Undefined" if applicable.

The formula for finding the slope between two points (x1, y1) and (x2, y2) is:

m = (y2 - y1) / (x2 - x1)

Using the given points (-6, -1) and (-1, 5), the slope can be calculated as:

m = (5 - (-1)) / (-1 - (-6)) = (5 + 1) / (-1 + 6) = 6 / 5

Therefore, the slope of the line that passes through (-6, -1) and (-1, 5) is 6/5.

Find the slope of the line that passes through -10,4 and -1,-6. Write your answer in simplest form.

Select "Undefined" if applicable.

The formula for finding the slope between two points (x1, y1) and (x2, y2) is:

m = (y2 - y1) / (x2 - x1)

Using the given points (-10, 4) and (-1, -6), the slope can be calculated as:

m = (-6 - 4) / (-1 - (-10)) = (-6 - 4) / (-1 + 10) = -10 / 9

Therefore, the slope of the line that passes through (-10, 4) and (-1, -6) is -10/9.

Find the slope of the line that passes through 6,-5 and -10,-4. Write your answer in simplest form.

Select "Undefined" if applicable.

The formula for finding the slope between two points (x1, y1) and (x2, y2) is:

m = (y2 - y1) / (x2 - x1)

Using the given points (6, -5) and (-10, -4), the slope can be calculated as:

m = (-4 - (-5)) / (-10 - 6) = (-4 + 5) / (-10 - 6) = 1 / (-16)

Therefore, the slope of the line that passes through (6, -5) and (-10, -4) is -1/16.

Find the slope of the line that passes through -1,-3 and -5,-3. Write your answer in simplest form.

Select "Undefined" if applicable.

The formula for finding the slope between two points (x1, y1) and (x2, y2) is:

m = (y2 - y1) / (x2 - x1)

Using the given points (-1, -3) and (-5, -3), the slope can be calculated as:

m = (-3 - (-3)) / (-5 - (-1)) = (-3 + 3) / (-5 + 1) = 0 / (-4) = 0

Therefore, the slope of the line that passes through (-1, -3) and (-5, -3) is 0.

Question 14

Find the slope of the line that passes through -1,-3 and 4, -3. Write your answer in simplest form.

Select "Undefined" if applicable.

The formula for finding the slope between two points (x1, y1) and (x2, y2) is:

m = (y2 - y1) / (x2 - x1)

Using the given points (-1, -3) and (4, -3), the slope can be calculated as:

m = (-3 - (-3)) / (4 - (-1)) = (-3 + 3) / (4 + 1) = 0/5 = 0

Therefore, the slope of the line that passes through (-1, -3) and (4, -3) is 0.

The slope of a line is m=2.

(a) Determine the slope of a line parallel to the line with the given slope.

(b) Determine the slope of a line perpendicular to the line with the given slope.

Select "Undefined" if applicable.