9514 1404 393
Answer:
y = 5/4(x -1)
Step-by-step explanation:
The slope formula can be used to find the slope:
m = (y2 -y1)/(x2 -x1)
m = (0 -5)/(1 -5) = -5/-4 = 5/4
The point-slope form is ...
y -k = m(x -h) . . . . . line with slope m through point (h, k)
Using the point (1, 0), we can write the equation as ...
y = 5/4(x -1)
Answer:
I'm pretty sure the answer is $192.75. Hope this was helpful!
Answer:
Step-by-step explanation:
As a line passes through the points
![\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=%5Cmathrm%7BSlope%5C%3Abetween%5C%3Atwo%5C%3Apoints%7D%3A%5Cquad%20%5Cmathrm%7BSlope%7D%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
![\left(x_1,\:y_1\right)=\left(-6,\:-7\right),\:\left(x_2,\:y_2\right)=\left(-2,\:1\right)](https://tex.z-dn.net/?f=%5Cleft%28x_1%2C%5C%3Ay_1%5Cright%29%3D%5Cleft%28-6%2C%5C%3A-7%5Cright%29%2C%5C%3A%5Cleft%28x_2%2C%5C%3Ay_2%5Cright%29%3D%5Cleft%28-2%2C%5C%3A1%5Cright%29)
![m=\frac{1-\left(-7\right)}{-2-\left(-6\right)}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B1-%5Cleft%28-7%5Cright%29%7D%7B-2-%5Cleft%28-6%5Cright%29%7D)
![m=2](https://tex.z-dn.net/?f=m%3D2)
As the equation of the line in slope-intercept form be
![y = mx + b](https://tex.z-dn.net/?f=y%20%3D%20mx%20%2B%20b)
Putting the point (-6, -7) and m = 2 in slope-intercept form
![y = mx + b](https://tex.z-dn.net/?f=y%20%3D%20mx%20%2B%20b)
![\left(-7\right)=\left(2\right)\left(-6\right)+b](https://tex.z-dn.net/?f=%5Cleft%28-7%5Cright%29%3D%5Cleft%282%5Cright%29%5Cleft%28-6%5Cright%29%2Bb)
![-2\cdot \:6+b=\left(-7\right)](https://tex.z-dn.net/?f=-2%5Ccdot%20%5C%3A6%2Bb%3D%5Cleft%28-7%5Cright%29)
![-12+b=-7](https://tex.z-dn.net/?f=-12%2Bb%3D-7)
![b=5](https://tex.z-dn.net/?f=b%3D5)
Therefore,
Answer:
![m = 575h](https://tex.z-dn.net/?f=m%20%3D%20575h)
Step-by-step explanation:
Given
![Rate = 575 miles/hour](https://tex.z-dn.net/?f=Rate%20%3D%20575%20miles%2Fhour)
Required
Determine the equation for the model
Represent the number of hours with h and the miles with m.
Using distance formula:
![Distance = Speed * Time](https://tex.z-dn.net/?f=Distance%20%3D%20Speed%20%2A%20Time)
In this case, it is:
![Miles = Rate * Hour](https://tex.z-dn.net/?f=Miles%20%3D%20Rate%20%2A%20Hour)
So, we have:
![m = 575 * h](https://tex.z-dn.net/?f=m%20%3D%20575%20%2A%20h)
![m = 575h](https://tex.z-dn.net/?f=m%20%3D%20575h)
A bag that costs $30 will cost $27 after the discount.
A shirt that costs $20 will cost $18 after the discount.