How many lines can be drawn parallel to a given line from a point outside the given line ?
1 answer:
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Answer:
The statistic for this case would be given by:
Step-by-step explanation:
Infromation provided
n=100 represent the random sample selected
X=18 represent the people who rates Pepsi as being "concerned with my health"
estimated proportion of people who rates Pepsi as being "concerned with my health"
is the value that reference to compare
z would represent the statistic
Hypothesis to test
For this case we can assume that the interest is check if the proportion of people who rates Pepsi as being "concerned with my health" is equal to 0.1 or not , then the system of hypothesis are:
Null hypothesis:
Alternative hypothesis:
The satistic for this one sample proportion test is given by:
(1)
Replacing the info given we got:
Slope-intercept form:
y = mx + b "m" is the slope, "b" is the y-intercept (the y value when x = 0)
First find the slope of the line that passes through (4,9) and (-3,6).
Use the slope formula and plug in the two points:
A.) For lines to be parallel, their slopes have to be the same.
Since the given line's slope is 3/7, the parallel line's slope is also 3/7
y = 3/7x + b To find "b", plug in the point (14,8) into the equation
8 = 3/7(14) + b
8 = 42/7 + b
8 = 6 + b Subtract 6 on both sides
2 = b
B.) For lines to be perpendicular, their slopes have to be the opposite/negative reciprocal (flipped sign and number)
For example:
slope is 3
perpendicular line's slope is -1/3
slope is -2/3
perpendicular line's slope is 3/2
Since the given line's slope is 3/7, the perpendicular line's slope is -7/3
y = -7/3x + b Plug in (14, 8) to find "b"
8 = -7/3(14) + b
8 = -98/3 + b Add 98/3 on both sides
8 + 98/3 = b Make the denominators the same
24/3 + 98/3 = b
122/3 = b