When we are given two points and we have to write the equation that passes through the two points, we can first find the slope. Let's say (3,1) is
Replace these variables with the values.
-3 is the slope. Next, we have to find the y-intercept. We can plug in the values that we know using the following formula:
Now we can choose one of the points, and plug in the values in the equation above. Let's use (0,10).
(Note: The point (0,10) is already on the y-axis, meaning that 10 is the y-intercept. We didn't need to do the step above for this specific problem.)
So the complete equation of the line that passes through the two points is:
Find the volume of the parallelepiped with one vertex at the origin and adjacent vertices at
Use the chain rule to find
z = tan−1(x6 + y6), x = s ln(t), y = tes
Find a basis for the space spanned by the given vectors,