Step-by-step explanation:
Please see the attached picture and I hope I have given the right answer.
Answer:
![\large\boxed{y=-\dfrac{2}{3}x-\dfrac{13}{3}}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7By%3D-%5Cdfrac%7B2%7D%7B3%7Dx-%5Cdfrac%7B13%7D%7B3%7D%7D)
Step-by-step explanation:
The slope-intercept form of an equation of a line:
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
m - slope
b - y-intercept
The formula of a slope:
![m=\dfrac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
From the graph we have two points (-5, -1) and (-2, -3).
<em>Look at the picture</em>.
Calculate the slope:
![m=\dfrac{-3-(-1)}{-2-(-5)}=\dfrac{-2}{3}=-\dfrac{2}{3}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7B-3-%28-1%29%7D%7B-2-%28-5%29%7D%3D%5Cdfrac%7B-2%7D%7B3%7D%3D-%5Cdfrac%7B2%7D%7B3%7D)
Put it to the equation in slope-intercept form:
![y=-\dfrac{2}{3}x+b](https://tex.z-dn.net/?f=y%3D-%5Cdfrac%7B2%7D%7B3%7Dx%2Bb)
We can't read the y-intercept from the graph. Therefore put the coordinates of the point (-5, -1) to the equation and calculate <em>b</em>:
![-1=-\dfrac{2}{3}(-5)+b](https://tex.z-dn.net/?f=-1%3D-%5Cdfrac%7B2%7D%7B3%7D%28-5%29%2Bb)
<em>subtract 10/3 from both sides</em>
![-\dfrac{3}{3}-\dfrac{10}{3}=b\to b=-\dfrac{13}{3}](https://tex.z-dn.net/?f=-%5Cdfrac%7B3%7D%7B3%7D-%5Cdfrac%7B10%7D%7B3%7D%3Db%5Cto%20b%3D-%5Cdfrac%7B13%7D%7B3%7D)
Finally:
![y=-\dfrac{2}{3}x-\dfrac{13}{3}](https://tex.z-dn.net/?f=y%3D-%5Cdfrac%7B2%7D%7B3%7Dx-%5Cdfrac%7B13%7D%7B3%7D)
Answer:
D. Length = 9 cm; width = 6 cm
Step-by-step explanation:
Find 1/4 of the length and 1/4 of the width.
1/4 * 36 cm = 9 cm
1/4 * 24 cm = 6 cm
Answer: D. Length = 9 cm; width = 6 cm
P(x > 35) = 1 - P(x < 35) = 1 - P[z < (35 - 29.60)/10.50] = 1 - P(z < 0.5143) = 1 - 0.6965 = 0.3035
Therefore, answer is 0.30 to the hundredths place.
The dependent value is determine by the value of the independent value. in other words, the dependent value is what you get when you take the independent value and substitute it in the original equation or situation. The relationship is multiplicative because you must first multiply the independent value in the equation where the x is before you can add or subtract to get your answer.<span />