Find the value of c if a line with slope 3/4 passes through the points (1,8) and (5,c) PLEASE HELP
1 answer:
The value of c, if a line with a slope of 3/4 that passes through the points (1,8) and (5,c), is 11.
<h3>What is the equation of a line?</h3>A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,
y =mx + c
where,
x is the coordinate of the x-axis,
y is the coordinate of the y-axis,
m is the slope of the line, and
c is the y-intercept.
Given that the line has a slope of 3/4 and passes through the point (1,8). Therefore, we need to substitute the slope and the coordinates in the equation of the line, to get the value of the y-intercept.
y = mx + c
8 = (3/4)(1) + c
8 = (3/4) + c
c = 8 - (3/4)
c = 29/4
Now, the line also passes through (5,c), therefore, if we substitute the value of slope and y-intercept in the equation,
y = mx + c
c = (3/4)(5) + (29/4)
c = (15/4) + (29/4)
c = 44/4
c = 11
Hence, the value of c, if a line with a slope of 3/4 that passes through the points (1,8) and (5,c), is 11.
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Answer:
a) 0.3571
b) The p-value is 0.362007.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 1.35
Sample mean, = 1.4
Sample size, n = 26
Alpha, α = 0.01
Sample standard deviation, s = 0.7
First, we design the null and the alternate hypothesis
We use One-tailed t test to perform this hypothesis.
a) Formula:
Putting all the values, we have
b) The p-value at t-statistic 0.3571 and degree of freedom 25 is 0.362007.