Question
A line passes through the points (17, c) and (-9, 24) and has a slope of and has a slope of 4/5
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Find the value of c
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Find the value of c
Answers
Answered by
GPT 3.5
To find the value of c, we first need to find the equation of the line passing through the points (17, c) and (-9, 24).
We can find the slope of the line using the formula:
m = (y2 - y1) / (x2 - x1)
Given that the slope is 4/5 and the two points are (17, c) and (-9, 24), we can substitute these values into the formula:
4/5 = (24 - c) / (-9 - 17)
4/5 = (24 - c) / -26
Next, cross multiply to solve for c:
4 * -26 = 5 * (24 - c)
-104 = 120 - 5c
-5c = -224
c = 44
Therefore, the value of c is 44.
We can find the slope of the line using the formula:
m = (y2 - y1) / (x2 - x1)
Given that the slope is 4/5 and the two points are (17, c) and (-9, 24), we can substitute these values into the formula:
4/5 = (24 - c) / (-9 - 17)
4/5 = (24 - c) / -26
Next, cross multiply to solve for c:
4 * -26 = 5 * (24 - c)
-104 = 120 - 5c
-5c = -224
c = 44
Therefore, the value of c is 44.
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