Answer:
<u>y = 3x + 16</u>
Step-by-step explanation:
write the equation of the line through (-6 , -2) and (-7,-5)
The general form of the line is y = mx + c
Where m is the slope and c is the y-intercept
The slope m = (y₂ - y₁)/(x₂ - x₁) = (-5 - [-2])/(-7 - [-6]) = (-3)/(-1) = 3
∴ y = 3x + c
By substitution with the point (-7,-5) to find c
So, at x = -7 ⇒ y =-5
-5 = 3 * -7 + c
-5 = -21 + c
c = -5 + 21 = 16
<u>∴ y = 3x + 16</u>
See the attached figure which represents the graph of the line y = 3x + 16
You would write it as 17/3 because you times 3 by 5 and get 15 and then you add the 2 to get 17 and you leave the 3 underneath the 17 so you final answer is 17/3 and that is a improper fraction
Answer:
71.02
Step-by-step explanation:
x is the number of days
1 week = 7 days
-3.64 (7) + 96.5 = 71.02
Answer:
-0.25y
Step-by-step explanation:
Simplifying
4x + 1y = 12
Solving
4x + 1y = 12
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-1y' to each side of the equation.
4x + 1y + -1y = 12 + -1y
Combine like terms: 1y + -1y = 0
4x + 0 = 12 + -1y
4x = 12 + -1y
Divide each side by '4'.
x = 3 + -0.25y
Simplifying
x = 3 + -0.25y