Answer:
![y=-\frac{1}{2}x-8](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B1%7D%7B2%7Dx-8)
Step-by-step explanation:
![(-4,-6)(-2,-7)](https://tex.z-dn.net/?f=%28-4%2C-6%29%28-2%2C-7%29)
Step 1. Find the slope (by using the slope-formula)
m = slope
![m=\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
![m=\frac{-7--6}{-2--4}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B-7--6%7D%7B-2--4%7D)
![m=\frac{-1}{2}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B-1%7D%7B2%7D)
![m=-\frac{1}{2}](https://tex.z-dn.net/?f=m%3D-%5Cfrac%7B1%7D%7B2%7D)
Step 2. Create the equation of a line that has a slope of ![-\frac{1}{2}](https://tex.z-dn.net/?f=-%5Cfrac%7B1%7D%7B2%7D)
![y=-\frac{1}{2} x+b](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B1%7D%7B2%7D%20x%2Bb)
Step 3. Find the y-intercept
To do this, use any of the two points and substitute their x and y values
![y=-\frac{1}{2}x+b](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B1%7D%7B2%7Dx%2Bb)
point: ![(-2,-7)](https://tex.z-dn.net/?f=%28-2%2C-7%29)
![(-7)=-\frac{1}{2}(-2)+b](https://tex.z-dn.net/?f=%28-7%29%3D-%5Cfrac%7B1%7D%7B2%7D%28-2%29%2Bb)
![(-7)=1+b](https://tex.z-dn.net/?f=%28-7%29%3D1%2Bb)
![b=-7-1](https://tex.z-dn.net/?f=b%3D-7-1)
![b=-8](https://tex.z-dn.net/?f=b%3D-8)
Step 4. Write the equation in Slope-intercept form
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
![y=-\frac{1}{2} x-8](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B1%7D%7B2%7D%20x-8)
Answer :
M = 135
Step by Step Explanation :
See the photo attached :) it’s kinda hard to explain in words but you cancel out the 36.50 by subtracting it on both sides, and then the equation becomes 13.50 = 0.10m. Since we have to get the m by itself, you cancel out the 0.10 by subtracting on both sides, and it leaves you with 135 = m
(Ignore my messy handwriting on a post it :3)
I hope this helped! If u have any questions feel free to comment on this!
Answer:
10.5 percents
Step-by-step explanation:
1)100+30=130 percents;
2) 130/100*15=19.5percents of discount from the first price
3) 130-19.5=110.5 percents- new price from the initial price
4)110.5-100=10.5 percents - the percentage of profit
Answer:
All of the above
Step-by-step explanation:
Any rigid transformation is a similarity transformation. So, too, is (uniform) dilation.
![y=-\dfrac{2}{3}x+2\\\\\left(-\dfrac{2}{5};\ \dfrac{34}{15}\right)\to x=-\dfrac{2}{5};\ y=\dfrac{34}{15}\\\\for\ x=-\dfrac{2}{5}\to y=-\dfrac{2}{3}\cdot\left(-\dfrac{2}{5}\right)+2=\dfrac{4}{15}+2=\dfrac{4}{15}+\dfrac{30}{15}=\dfrac{34}{15}\\CORRECT\\\\\left(\dfrac{7}{2};\ \dfrac{13}{3}\right)\to x=\dfrac{7}{2};\ y=\dfrac{13}{3}\\\\for\ x=\dfrac{7}{2}\to y=-\dfrac{2}{3}\cdot\dfrac{7}{2}+2=-\dfrac{7}{3}+2=-\dfrac{7}{3}+\dfrac{6}{3}=-\dfrac{1}{3}\neq\dfrac{13}{3}\\INCORRECT](https://tex.z-dn.net/?f=%20y%3D-%5Cdfrac%7B2%7D%7B3%7Dx%2B2%5C%5C%5C%5C%5Cleft%28-%5Cdfrac%7B2%7D%7B5%7D%3B%5C%20%5Cdfrac%7B34%7D%7B15%7D%5Cright%29%5Cto%20x%3D-%5Cdfrac%7B2%7D%7B5%7D%3B%5C%20y%3D%5Cdfrac%7B34%7D%7B15%7D%5C%5C%5C%5Cfor%5C%20x%3D-%5Cdfrac%7B2%7D%7B5%7D%5Cto%20y%3D-%5Cdfrac%7B2%7D%7B3%7D%5Ccdot%5Cleft%28-%5Cdfrac%7B2%7D%7B5%7D%5Cright%29%2B2%3D%5Cdfrac%7B4%7D%7B15%7D%2B2%3D%5Cdfrac%7B4%7D%7B15%7D%2B%5Cdfrac%7B30%7D%7B15%7D%3D%5Cdfrac%7B34%7D%7B15%7D%5C%5CCORRECT%5C%5C%5C%5C%5Cleft%28%5Cdfrac%7B7%7D%7B2%7D%3B%5C%20%5Cdfrac%7B13%7D%7B3%7D%5Cright%29%5Cto%20x%3D%5Cdfrac%7B7%7D%7B2%7D%3B%5C%20y%3D%5Cdfrac%7B13%7D%7B3%7D%5C%5C%5C%5Cfor%5C%20x%3D%5Cdfrac%7B7%7D%7B2%7D%5Cto%20y%3D-%5Cdfrac%7B2%7D%7B3%7D%5Ccdot%5Cdfrac%7B7%7D%7B2%7D%2B2%3D-%5Cdfrac%7B7%7D%7B3%7D%2B2%3D-%5Cdfrac%7B7%7D%7B3%7D%2B%5Cdfrac%7B6%7D%7B3%7D%3D-%5Cdfrac%7B1%7D%7B3%7D%5Cneq%5Cdfrac%7B13%7D%7B3%7D%5C%5CINCORRECT%20)
![\left(\dfrac{1}{8};\ \dfrac{23}{12}\right)\to x=\dfrac{1}{8};\ y=\dfrac{23}{12}\\\\for\ x=\dfrac{1}{8}\to y=-\dfrac{2}{3}\cdot\dfrac{1}{8}+2=-\dfrac{1}{12}+2=-\dfrac{1}{12}+\dfrac{24}{12}=\dfrac{23}{12}\\CORRECT\\\\\left(\dfrac{8}{3};\ \dfrac{2}{3}\right)\to x=\dfrac{8}{3};\ y=\dfrac{2}{3}\\\\for\ x=\dfrac{8}{3}\to y=-\dfrac{2}{3}\cdot\dfrac{8}{3}+2=-\dfrac{16}{9}+2=-\dfrac{16}{9}+\dfrac{18}{9}=\dfrac{2}{9}\neq\dfrac{2}{3}\\INCORRECT](https://tex.z-dn.net/?f=%20%5Cleft%28%5Cdfrac%7B1%7D%7B8%7D%3B%5C%20%5Cdfrac%7B23%7D%7B12%7D%5Cright%29%5Cto%20x%3D%5Cdfrac%7B1%7D%7B8%7D%3B%5C%20y%3D%5Cdfrac%7B23%7D%7B12%7D%5C%5C%5C%5Cfor%5C%20x%3D%5Cdfrac%7B1%7D%7B8%7D%5Cto%20y%3D-%5Cdfrac%7B2%7D%7B3%7D%5Ccdot%5Cdfrac%7B1%7D%7B8%7D%2B2%3D-%5Cdfrac%7B1%7D%7B12%7D%2B2%3D-%5Cdfrac%7B1%7D%7B12%7D%2B%5Cdfrac%7B24%7D%7B12%7D%3D%5Cdfrac%7B23%7D%7B12%7D%5C%5CCORRECT%5C%5C%5C%5C%5Cleft%28%5Cdfrac%7B8%7D%7B3%7D%3B%5C%20%5Cdfrac%7B2%7D%7B3%7D%5Cright%29%5Cto%20x%3D%5Cdfrac%7B8%7D%7B3%7D%3B%5C%20y%3D%5Cdfrac%7B2%7D%7B3%7D%5C%5C%5C%5Cfor%5C%20x%3D%5Cdfrac%7B8%7D%7B3%7D%5Cto%20y%3D-%5Cdfrac%7B2%7D%7B3%7D%5Ccdot%5Cdfrac%7B8%7D%7B3%7D%2B2%3D-%5Cdfrac%7B16%7D%7B9%7D%2B2%3D-%5Cdfrac%7B16%7D%7B9%7D%2B%5Cdfrac%7B18%7D%7B9%7D%3D%5Cdfrac%7B2%7D%7B9%7D%5Cneq%5Cdfrac%7B2%7D%7B3%7D%5C%5CINCORRECT%20)
Answer: (-2/5,34/15) and (1/8,23/12).