D: { 1,3,0}
R: { -4,3,1,4}
I’m pretty sure these are the domain and range!
Answer:
the equation in the point slope form is
![y-(-2)=-\frac{7}{3} (x-8)](https://tex.z-dn.net/?f=y-%28-2%29%3D-%5Cfrac%7B7%7D%7B3%7D%20%28x-8%29)
and reducing the equation (slope-intercept form)
![y=-\frac{7}{3} x+\frac{50}{3}](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B7%7D%7B3%7D%20x%2B%5Cfrac%7B50%7D%7B3%7D)
Step-by-step explanation:
first we calculate the slope of the line with the formula:
![m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By_%7B2%7D-y_%7B1%7D%7D%7Bx_%7B2%7D-x_%7B1%7D%7D)
where
is a point where the line passes, and
is another point where the line passes.
Since we have the following points:
(8, -2)
(5,5)
we conclude that
![x_{1}=8\\y_{1}=-2\\x_{2}=5\\y_{2}=5](https://tex.z-dn.net/?f=x_%7B1%7D%3D8%5C%5Cy_%7B1%7D%3D-2%5C%5Cx_%7B2%7D%3D5%5C%5Cy_%7B2%7D%3D5)
now we substitute this values to find the slope:
![m=\frac{5-(-2)}{5-8}\\ \\m=\frac{5+2}{-3} \\m=-\frac{7}{3}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B5-%28-2%29%7D%7B5-8%7D%5C%5C%20%5C%5Cm%3D%5Cfrac%7B5%2B2%7D%7B-3%7D%20%5C%5Cm%3D-%5Cfrac%7B7%7D%7B3%7D)
to find the equation now that we know the slope we use the point-slope equation:
![y-y_{1}=m(x-x_{1})](https://tex.z-dn.net/?f=y-y_%7B1%7D%3Dm%28x-x_%7B1%7D%29)
and we subtitute the slope and the values of
and
:
![y-(-2)=-\frac{7}{3} (x-8)](https://tex.z-dn.net/?f=y-%28-2%29%3D-%5Cfrac%7B7%7D%7B3%7D%20%28x-8%29)
we reduce this equation:
![y+2=-\frac{7}{3} x+\frac{7}{3}*8 \\\\y+2=-\frac{7}{3} x+\frac{56}{3}\\\\y=-\frac{7}{3} x+\frac{56}{3}-2\\ \\y=-\frac{7}{3} x+\frac{50}{3}](https://tex.z-dn.net/?f=y%2B2%3D-%5Cfrac%7B7%7D%7B3%7D%20x%2B%5Cfrac%7B7%7D%7B3%7D%2A8%20%5C%5C%5C%5Cy%2B2%3D-%5Cfrac%7B7%7D%7B3%7D%20x%2B%5Cfrac%7B56%7D%7B3%7D%5C%5C%5C%5Cy%3D-%5Cfrac%7B7%7D%7B3%7D%20x%2B%5Cfrac%7B56%7D%7B3%7D-2%5C%5C%20%5C%5Cy%3D-%5Cfrac%7B7%7D%7B3%7D%20x%2B%5Cfrac%7B50%7D%7B3%7D)
the equation in the point slope form is
![y-(-2)=-\frac{7}{3} (x-8)](https://tex.z-dn.net/?f=y-%28-2%29%3D-%5Cfrac%7B7%7D%7B3%7D%20%28x-8%29)
and reducing the equation (slope-intercept form)
![y=-\frac{7}{3} x+\frac{50}{3}](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B7%7D%7B3%7D%20x%2B%5Cfrac%7B50%7D%7B3%7D)
Step-by-step explanation:
Fraction of the money spent = $16/$25 = 0.64.
Answer:
Step-by-step explanation: