Answer:
![\boxed{y = -\dfrac{1}{2}x-6}}](https://tex.z-dn.net/?f=%5Cboxed%7By%20%3D%20-%5Cdfrac%7B1%7D%7B2%7Dx-6%7D%7D)
Step-by-step explanation:
The equation for a straight line is
y = mx + b
where m is the slope of the line and b is the y-intercept.
The line passes through the points (-12, 0) and (0, 6)
(a) Calculate the slope of the line
![\begin{array}{rcl}m & =&\dfrac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\ & = &\dfrac{6 - 0 }{0 - (-12)}\\\\& = &\dfrac{6}{-12}\\\\& = & -\dfrac{1}{2}\\\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Brcl%7Dm%20%26%20%3D%26%5Cdfrac%7By_%7B2%7D%20-%20y_%7B1%7D%7D%7Bx_%7B2%7D%20-%20x_%7B1%7D%7D%5C%5C%5C%5C%20%26%20%3D%20%26%5Cdfrac%7B6%20-%200%20%7D%7B0%20-%20%28-12%29%7D%5C%5C%5C%5C%26%20%3D%20%26%5Cdfrac%7B6%7D%7B-12%7D%5C%5C%5C%5C%26%20%3D%20%26%20-%5Cdfrac%7B1%7D%7B2%7D%5C%5C%5Cend%7Barray%7D)
(b) Write the equation
The y-intercept is at x = -6.
![\text{The equation for the line is $\boxed{\mathbf{y = -\dfrac{1}{2}x-6}}$}](https://tex.z-dn.net/?f=%5Ctext%7BThe%20equation%20for%20the%20line%20is%20%24%5Cboxed%7B%5Cmathbf%7By%20%3D%20-%5Cdfrac%7B1%7D%7B2%7Dx-6%7D%7D%24%7D)
The diagram shows the graph of the line passing through the two intercepts.
So for a, the y-intercept would be positive 2 (first equation) and the slope would be 3/1. When you graph the y-intercept, which you have to do first, you can use the slope to figure out the line. The same thing would happen with the second equation. -8 is the y-intercept and -2/1 is the slope. (Negative slope would be, in this case, down 2 right 1)
Answer:
the Answer is (B) change in y/ change in x
Step-by-step explanation:
:DD
Answer:
Step-by-step explanation:
You need to know the formula for the area of a circle , do you?
it's pi*![r^{2}](https://tex.z-dn.net/?f=r%5E%7B2%7D)
plug in 1/2 of the diameter , they tell us it's 48 + 6 = 54
54/2 = 27
so
pi*
=2290.2 sq inches
Answer:
Combine the like terms. In this equation there are two like terms. They both are xy. Note: When there is no number in front of a term, you can assume that the number is 1.
5xy - 1xy
Subtract normally and then attach the xy.
4xy
Hope this helps! :)