Finding the x-intercept first:
5 (x - 2) = y - 3
5x - 10 = 0 - 3
5x - 10 = -3
5x = 7
x = 7/5 or 1.4
Solve for y
y - 3 = 5 (0 - 2)
y - 3 = 0 - 10
y - 3 = -10
y = - 7
Answer:
An equation in slope-intercept form for this line is ![y=\frac{5}{2}x-19](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B5%7D%7B2%7Dx-19)
Step-by-step explanation:
Slope intercept form : ![y-y_1=m(x-x_1)](https://tex.z-dn.net/?f=y-y_1%3Dm%28x-x_1%29)
We are given that A line passes through the point (4, −9) and has a slope of 5/2.
So, ![(x_1,y_1)=(4,-9)](https://tex.z-dn.net/?f=%28x_1%2Cy_1%29%3D%284%2C-9%29)
![m = \frac{5}{2}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B5%7D%7B2%7D)
Substitute the value in the equation :
So,![y-(-9)=\frac{5}{2}(x-4)](https://tex.z-dn.net/?f=y-%28-9%29%3D%5Cfrac%7B5%7D%7B2%7D%28x-4%29)
![y+9=\frac{5}{2}x-10\\y=\frac{5}{2}x-10-9\\y=\frac{5}{2}x-19](https://tex.z-dn.net/?f=y%2B9%3D%5Cfrac%7B5%7D%7B2%7Dx-10%5C%5Cy%3D%5Cfrac%7B5%7D%7B2%7Dx-10-9%5C%5Cy%3D%5Cfrac%7B5%7D%7B2%7Dx-19)
So, an equation in slope-intercept form for this line is ![y=\frac{5}{2}x-19](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B5%7D%7B2%7Dx-19)
Answer: 6 miles
Step-by-step explanation:
From the question, we are informed that the taxi charges $4.75 for the first mile, and then $2.25 for each mile after that and that the total charge is $18.25.
The distance of Sara's taxi ride to the movie would be:
4.75 + 2.25m = 18.25
where,
m = number of miles
4.75 + 2.25m = 18.25
2.25m = 18.25 - 4.75
2.25m = 13.5
m = 13.5 / 2.25
m = 6 miles
The answer is 6 miles.
Answer:
4.44 infinet
Step-by-step explanation: