Answer:
1. 9/10
2. 1/5
3. 4/9
4. 1
Step-by-step 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.
