(-4,4) (2,1)
gradient = (1-4)/(2--4) = -1/2
y = mx + c
y = -1/2x + c
Replace point (2,1) in the equation
1=-1/2(2) +c
c = 2
Equation : y = -1/2x + 2
y-2 = -1/2x
Answer is C.
Hope it helped!
![T=xd+ym\\x(4)+y(100)=(120)\\x(1)+y(240)=(80)\\\\4x+960y=320\\4x+100y=120\\860y=200\\y=\frac{200}{860}\\y=\frac{10}{43}\\\\x+240(\frac{10}{43})=80\\x+\frac{2400}{43}=\frac{3440}{43}\\x=\frac{1040}{43}](https://tex.z-dn.net/?f=T%3Dxd%2Bym%5C%5Cx%284%29%2By%28100%29%3D%28120%29%5C%5Cx%281%29%2By%28240%29%3D%2880%29%5C%5C%5C%5C4x%2B960y%3D320%5C%5C4x%2B100y%3D120%5C%5C860y%3D200%5C%5Cy%3D%5Cfrac%7B200%7D%7B860%7D%5C%5Cy%3D%5Cfrac%7B10%7D%7B43%7D%5C%5C%5C%5Cx%2B240%28%5Cfrac%7B10%7D%7B43%7D%29%3D80%5C%5Cx%2B%5Cfrac%7B2400%7D%7B43%7D%3D%5Cfrac%7B3440%7D%7B43%7D%5C%5Cx%3D%5Cfrac%7B1040%7D%7B43%7D)
x = 1040/43 = $24.19 per day.
y = 10/43 = $0.23 per mile.
Answer:
y = 2/3x - 3
Step-by-step explanation:
First let's look at what slope-intercept form is.
y = mx + b
m is the slope, which in this case is 2/3
b is the y-intercept, which we will find later.
Now that we have identified the parts of the equation, let's plug in what we know. Use the point given for your x and y values.
y = mx + b
1 = 2/3(6) + b
Let's simplify this to find b.
[multiply] 1 = 4 + b
[subtract 4]
-3 = b
We now have our b-value, which is also our y-intercept. Plug in this value into the standard slope-intercept equation.
y = 2/3x - 3
This is your equation.
Check this by plugging in the point again.
1 = 2/3(6) - 3
[multiply] 1 = 4 - 3
[subtract]
1 = 1
This expression is true; therefore, your answer is correct.
Hope this helps!
Answer:
9, 13, 17, 21,25
Step-by-step explanation:
n=1, 4×1+5=9
n=2, 4×2 +5=13
::
:
n=5, 4×5 + 5= 25
A) sum 3 + 7 =10
b) divide <span> £</span>300 ÷ 10 = <span> £</span>30
c) multiply:
3 x 30 = <span> £</span>90
7 x 30 = <span> £</span>210
Values are: £90 and <span> £210</span>