We have been given that a line passes through the point (10, 3) and is parallel to the line . We are asked to find the y-intercept of the line.
First of all we will rewrite our given equation in slope-intercept form as:
We know that slope of parallel lines is equal, so slope of parallel line to our given line would be .
Now we will use slope-intercept form of equation to find y-intercept.
, where,
m = Slope,
b = The y-intercept.
Let us substitute and coordinates of point in above equation as:
Therefore, the y-intercept is 7 and our required equation would be .
You're correct, the answer is C.
Given any function of the form
, then the derivative of y with respect to x (
) is written as:
In which
is any constant, this is called the power rule for differentiation.
For this example we have
, first lets get rid of the quotient and write the expression in the form
:
Now we can directly apply the rule stated at the beginning (in which
):
Note that whenever we differentiate a function, we simply "ignore" the constants (we take them out of the derivative).
Kiddo, you didn't draw the model that why
The correct answer is A, if you use photomath you can usually find the answers to most algebra problems