Answer:
![\text{The slope of the line t:}\ m=-\dfrac{3}{4}\\\\\text{The y-intercept of the line t:}\ b=2\\\\\text{The equation of a line t in the slope-intercept form:}\ y=-\dfrac{3}{4}x+2](https://tex.z-dn.net/?f=%5Ctext%7BThe%20slope%20of%20the%20line%20t%3A%7D%5C%20m%3D-%5Cdfrac%7B3%7D%7B4%7D%5C%5C%5C%5C%5Ctext%7BThe%20y-intercept%20of%20the%20line%20t%3A%7D%5C%20b%3D2%5C%5C%5C%5C%5Ctext%7BThe%20equation%20of%20a%20line%20t%20in%20the%20slope-intercept%20form%3A%7D%5C%20y%3D-%5Cdfrac%7B3%7D%7B4%7Dx%2B2)
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 → (0, b)
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)
We have two points (8, -4) and (0, 2) → b = 2.
Calculate the slope:
![m=\dfrac{2-(-4)}{0-8}=\dfrac{6}{-8}=-\dfrac{3}{4}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7B2-%28-4%29%7D%7B0-8%7D%3D%5Cdfrac%7B6%7D%7B-8%7D%3D-%5Cdfrac%7B3%7D%7B4%7D)
Therefore the equation of a line t in the slope-intercept form is:
![y=-\dfrac{3}{4}x+2](https://tex.z-dn.net/?f=y%3D-%5Cdfrac%7B3%7D%7B4%7Dx%2B2)
$88.45, that is the price before tax
Answer:
<u><em>24</em></u>
Step-by-step explanation: