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Multiple please help me out. (picture is for question 4)

1. if a line falls on the points (18,17) and (8,8), what is it’s slope?


2. if a line falls on the points (8,9) and (3,8), what is it’s slope?


3. if a line falls on the points (15,15) and (6,11), what is it’s slope?


4. compute the slope of the line below.

Multiple please help me out. (picture is for question 4) 1. if a line falls on the-example-1

1 Answer

1 vote

Answer:

1. 9/10

2. 1/5

3. 4/9

4. 1

Explanation:

The general equation of the line is:

(y - y0) = m ( x - x0), where "m" represents the slope is: (y1 - y0) / (x1 - x0).

1. From the statement we know that (x1, y1) = (18, 17) and (x0, y0) = (8,8)

Then the slope is:

m= (y1 - y0) / (x1 - x0) = (17 - 8)/(18 - 8) = 9/10.

The slope is 9/10.

2. From the statement we know that (x1, y1) = (8, 9) and (x0, y0) = (3,8)

Then the slope is:

m= (y1 - y0) / (x1 - x0) = (9 - 8)/(8 - 3) = 1/5.

The slope is 1/5.

3. From the statement we know that (x1, y1) = (15, 15) and (x0, y0) = (6,11)

Then the slope is:

m= (y1 - y0) / (x1 - x0) = (15 - 11)/(15 - 6) = 4/9.

The slope is 4/9.

4. From the graph, we know that the line passes through the points (-5, -4) and (-7, -6). So we know that (x1, y1) = (-5, -4) and (x0, y0) = (-7,-6).

Then the slope is:

m= (y1 - y0) / (x1 - x0) = (-4 - (-6))/(-5 - (-7)) = 2/2 = 1.

The slope is 1.

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