Slope-intercept form is <em>y = mx + b</em> where m is the slope and b is the y-intercept. (the value of y when x = 0)
To find the slope, use the slope formula,
, where (x¹, y¹) and (x², y²) are your two points.
For (-2, 6) and (2, 14):
As a fraction, we would write the slope 2/1, but dividing by 1 is redundant when writing the actual equation.
Since slope is rise over run, we can interpret this slope as <em>"when y changes by 2, x changes by 1 (and vice versa)"</em>
Let's take one of our points, how about (-2, 6), and find our y-intercept from this.
We want to add 2 to x. According to our slope, this means adding 4 to y.
Our y-intercept is at (0, 10), with the value we put into our equation b = 10.
Final equation:
y = 2x + 10
Answer:
In order: B, A, CB, AB, CD
Step-by-step explanation:
If you read closely, your answers lie within the question.
B is the center of the base.
A is the vertex of the cone.
CB is the radius of the base.
AB is the height from the vertex to the base.
CD is the diameter of the base.
Answer:
b is the independent variable
c is the dependent variable
Step-by-step explanation:
(a + b) (a-b ) - 4b - 4
<u>Explanation:</u>
Given:
a² - b² - 4b - 4
(a + b) (a-b ) - 4b - 4
This equation cannot be solved further.
Thus, the equation is (a + b) (a-b ) - 4b - 4
Answer:
(6,-3) and 5
Step-by-step explanation:
Compare it to the standard equation of circle and we will get center is (6,-3) and radius=5