The equation of a line parallel to y = 5x + 4 that passes through (-1 , 2) is y = 5x + 7
Step-by-step explanation:
The parallel lines have:
- Same slopes
- Different y-intercepts
The form of the linear equation is y = mx + b, where m is the slope of the line and b is the y-intercept
∵ The equation of the given line is y = 5x + 4
∴ m = 5 and b = 4
∵ The two lines are parallel
∴ Their slopes are equal
∴ The slope of the parallel line = 5
- Substitute the value of the slope in the form of the equation
∴ y = 5x + b
- To find b substitute x and y in the equation by the coordinates
of any point on the line
∵ The parallel line passes through point (-1 , 2)
∴ x = -1 and y = 2
∵ 2 = 5(-1) + b
∴ 2 = -5 + b
- Add 5 to both sides
∴ 7 = b
- Substitute the value of b in the equation
∴ y = 5x + 7
The equation of a line parallel to y = 5x + 4 that passes through (-1 , 2) is y = 5x + 7
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Answer:
Concluding that people should take vitamin supplement each day when they don't help.
Step-by-step explanation:
We are given the following in the question:
Hypothesis:
Taking a vitamin supplement each day has significant health benefits and does not have any harmful side effects.
Null hypothesis:
Taking a vitamin supplement each day does not have have significant health benefits.
Alternate hypothesis:
Taking a vitamin supplement each day have have significant health benefits.
Type I error:
- It the error of rejecting the a true null hypothesis.
So error I for this situation would be concluding that people should take vitamin supplement each day when they don't help.
Gallons Per Min. because the independent quantity is the minute.
Step-by-step explanation:
slope=4-6/8-3=-2/5
chosing another point (x,y) we have
y-4/x-8= -2/5
y-4=-2/5(x-8)
y= -2/5x+16/5+4
