How do you graph the equation of a line if the equation of the line is given...
The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept. If you know two points that a line passes through, this page will show you how to find the equation of the line. Fill in one of the points that the line passes through.
The strategy to graph a line actually doesn't depend on the form the equation is presented: it can be the standard form, the slope intercept form, or any other way to write it.
The key point is that you can draw a line if you know two of its points. In fact, all you have to do is draw and connect them.
To sample two points from the equation, just pick any two values for x, and compute the correspondent value for y.
For example, given the line y=3x-7, we can sample x=0 and x=1 (again, this is a totally arbitrary choice), and compute
So, the line passes through the points (0,-7) and (1,-4). Draw these two points and connect them, and you'll have the line.
the question requires us to calculate the approximate 95% confidence interval for the mean number of ounces of ketchup per bottle in the sample given the following statistics;
sample mean = 24
standard deviation, σ = 0.4
sample size , n = 49
the confidence interval for a population mean is calculated using the formula;
sample mean ± z-score*(σ/sqrt(n))
the z-score associated with a 95% confidence interval, from the standard normal tables, is;
substituting these values into the formula;
24 ± 1.96*(0.4/7)
= 24 ± 0.112
from the alternatives given, choice d is closest to the above expression;