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The slope of a line is given by the ratio of the rise to the run of the line.
The value of, y is <u>4</u>
Reasons:
The given points on the line are; (-4, y), and (5, 7)
The slope of the line, =
Required:
To find the value of <em>y</em>
<em />
Solution:
The formula for the slope is given as follows;
Where;
(x₁, y₁) = (-4, y)
(x₂, y₂) = (5, 7)
Which gives;
3·(7 - y) = 1·(5 + 4) = 9
21 - 3·y = 9
3·y = 21 - 9 = 12
The value of, y = <u>4</u>
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Answer:
a) The distance travelled on the cycle in the first 14 seconds is 96 meters.
b) The acceleration in the first 4 seconds is 2 meters per square second.
Step-by-step explanation:
a) The distance travelled by the cycle is equal to the area below the curve, which is the sum of the first triangle and the rectangle:
The distance travelled on the cycle in the first 14 seconds is 96 meters.
b) The acceleration is represented by the slope of the line, which is determined by definition of secant line:
(1)
The acceleration in the first 4 seconds is 2 meters per square second.