First let us find the slope between the two points.
Slope = Change in y / Change in x.
(3, 6) and (8, 4) compares to (x₁, y₁) and (x₂, y₂)
Slope = (y₂ - y₁) / (x₂ - x₁) = (4 - 6) / (8 - 3) = -2/5
Slope m = -2/5= -0.4
Using y = mx + c, using point (3, 6)
y = -0.4x + c
6 = -0.4*3 + c
6 = -1.2 + c
6 + 1.2 = c
7.2 = c
c = 7.2
Equation = : y = -0.4x +c
y = -0.4x + 7.2
y = -4/10 + 72/10
10y = -4x + 72
5y = -2x + 36
Equation =: 5y = -2x + 36
Hope this explains it.
Answer:
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5/4x+3 = x-1/4
5/4x-x = -1/4-3
1/4x = -13/4
x = -13/4.4
x = - 13
5 and 3 both have 15 in common
Answer:
1/3x - 3
Step-by-step explanation:
To find the inverse, we exchange x and y and then solve for y
y =3x+9
Exchange x and y
x = 3y+9
Then solve for y
Subtract 9 from each side
x-9 =3y+9-9
x-9 = 3y
Divide by 3
1/3(x-9) = 3y/3
1/3(x-9) = y
Distribute
1/3x-3 = y
The inverse is 1/3 x -3
