Answer:
3x - 4y + 5 = 0
Step-by-step explanation:
The equation of a line in general form is
Ax + By + C = 0 ( A, B, and C are integers )
Given
y + 1 = (x + 3) ← multiply through by 4 to clear the fraction
4y + 4 = 3(x + 3)
4y + 4 = 3x + 9 ( subtract 4y + 4 from both sides )
0 = 3x - 4y + 5 , that is
3x - 4y + 5 = 0 ← in general form
Answer:
60 weeks
Step-by-step explanation:
Factor both numbers 12 and 15:
Find LCM(12,15). The common factor is only 3, multiply ths common factor by all factors that remain. Then
This means that the fewest number of weeks that will pass before both machines are cleaned again in the same week is 60 weeks.
Answer:
slope =
Step-by-step explanation:
Calculate the slope m using the slope formula
m =
with (x₁, y₁ ) = (- 4, 1) and (x₂, y₂ ) = (0, 2) ← 2 points on the line
m = =
=
Answer:
120 pounds
Step-by-step explanation:
We can use systems of equations to solve this problem. Assuming j is Jim's weight and b is Bob's weight, the equations are:
j + b = 180
b - j = 1/2b
Let's get b - j = 1/2b into standard form (b, then j, then the equal sign, then the constant.)
Now we can solve using the process of elimination.
Now we know how much Bob weighs, for fun, let's find Jim's weight by substituting into the equation.
So Bob weighs 120 pounds and Jim weight 60 pounds.
Hope this helped!