Find 3 points
(0,-9), (3,-4), (-3,-14)
Plot these points and draw a line through them
The first step is converting the mixed number into an improper fraction. Your answer is 3/4
(2,1), (4,2), (6,3) or (8,4) are the numbers we will use to find the first differences which will give us the unit rate
2/1 = 2
4/2= 2
6/3= 2
8/4= 2
therefore this graph is linear and its unit rate is 2.
Since this is a 3D object, the center of the sphere has 3 coordinates: x=2, y = -6 and z = 4.
The equation would be:
(x-2)^2 + (y+6)^2 + (z-4)^2 = 5^2 (answer).
To find the equation of the intersection of this sphere with the xy plane, let z = 0. Then (x-2)^2 + (y+6)^2 + (0-4)^2 = 25
This simplifies to (x-2)^2 + (y+6)^2 = 5^2 (or 25).
Find and describe the sphere's intersections with the other 2 coord. planes.
In this question, we have o find the equation of line passing through point (1,1) and is perpendicular to the line
And slope of the given line is 5. And slopes of perpendicular lines are opposite and reciprocal of each other.
So slope of perpendicular line is
Using slope intercept form, which is
Substituting the values of x and y from the given point, and the value of m, we will get
adding 1/5 to both sides
So the required equation of line is
