Answer:
5. y = 2/3x + 1
8. y = 4/7x - 4
Step-by-step explanation:
5. (-6, -3) and (6, 5)
You can use the slope formula which is (y2-y1)/(x2-x1) to find the slope and plug it back into the slope-intercept form to find the y-intercept
(5-(-3)) / (6-(-6)) = 8 / 12 = 2/3
slope-intercept form: y=mx+b where m is the slope and b is the y-intercept
to find b you can plug in one of the coordinates and the slope
5 = 6(2/3) + b
5 = 4 + b
1 = b
y = 2/3x + 1
8. (-7, -8), (21, 8)
m = (8 - (-8)) / (21 - (-7)) = 16 / 28 = 4/7
plug in one of the coordinates and the slope to find b or the y-intercept
8 = 21(4/7) + b
8 = 12 + b
-4 = b
y = 4/7x - 4
3.Slope: 10 Y int: 5
4. Slope: 5 Y int: 10
6.Slope: 1/3 Y int: 3.5
7.Slope: 4/3 Y int: -1
8.Slope: 2/-4 Y int: -1
The way you do this is the Y int is where the line crosses through the y-axis. Finding the slope is finding the rise over run (y/x). It's easy to find when you know how to.
Use 4. as an example. Start where at (-3,-5) or (-2,0). Each 'rise' up 5 and 'runs' one block over, giving you the slope of 5/1 or 5 simplified.
7 is harder, but start at (-3,-5). It 'rises' up 4, then 'runs' 3, also giving you the y int, as it crosses the axis. As the rise is 4 and run is 3, it creates the slope 4/3.
Slope intercept form is y=mx+b where m is slow and b is y intercept. since we dont have this info we will have to do some work to solve.
1. find slope. this is change in y du used by change in. so we take the two points given and subtract the y values and divide by difference of x values
m=(8-2)/(-3--1)=6/-2=-3
2
use point slope formula and simplify. this is y-y1=m(x-x1) where (x1,y1) is a point on the l in ne. you can pick either point it doesn't matter. we will use (-1,2)
y-2=-3(x+1)
simplify to slope intercept by solving for y
y-2=-3x-3
y=-3x-1
so we have slope -3 and y intercept -1
I'm not sure what the answer can be for this
answer: D) 439.85
Step-by-step explanation:
we are given the price of the bike which is $413.
we are also given the sales tax which is 6.5%.
sales tax is added to the original price to give us our total. so in order to find the total cost we need to find what the 6.5% sales tax is and add it to our original price. to find the sales tax number in dollars we need to set up our formula. The easiest formula is to use a proportion. X is out of 413 = 6.5% is out of 100%. X/413=6.5/100. We can then cross multiply then divide. 6.5 times 413=2,684.5. then divide 2684.5÷100= 26.845.
we need to round up to the nearest cent since we are working with dollars and cents 26.85. 26.85 is 6.5% of the price of the bike which is 413. Now we just simply add the tax to the original price and we get the cost. 413+26.85=439.85
