Answer:
slope = 5/6
Step-by-step explanation:
Since you were given two points, you can use the point-slope formula to find the slope. The general equation looks like this:
y₁ - y₂ = m(x₁ - x₂)
In this formula, "m" represents the slope. To find the slope, plug the values from the two points into the equation. Make sure to put the values from the same point in the variable with the same number.
Point 1: (-1, 8)
Point 2: (-7, 3)
y₁ - y₂ = m(x₁ - x₂) <----- Original formula
8 - y₂ = m(-1 - x₂) <----- Plug in "x" and "y" values from Point 1
8 - 3 = m(-1 - (-7)) <----- Plug in "x" and "y" values from Point 2
5 = m(-1 - (-7)) <----- Simplify left side
5 = m(6) <----- Simplify inside parentheses
5/6 = m <----- Divide both sides by 6
1 dozen = 12
5 get off the next stop so
12 - 5 =
7 people left on the train
Answer:
7(7x -4)
Step-by-step explanation:
49x-28
We can factor a 7 from each term
49x = 7*7x
28 = 7*4
7(7x -4)
Answer:
x = 
, y = 
Step-by-step explanation:
1. Isolate for x in one of the equations:
2x = 9x - 14y
2x-9x = 9x-9x -14y
-7x = -14y
-7x/-7 = -14y/-7
x = 2y
2. Substitute 2y in for x in the second equation:
9(2y) = 40 - 14y
3. Simplify:
18y = 40 - 14y
4. Isolate for y:
18y+14y = 40 -14y+14y
32y = 40
32y/32 = 40/32
y =
5. Substitute the new y-value into the simplified expression x = 2y:
x = 2(5/4)
x =
hope this helps!
Answer:
f(x) = -3x + 6
Step-by-step explanation:
The general linear function is;
y = mx + b
it can also be written as (x , f(x))
f(x) = mx + b
where m is the slope and b is the y-intercept
so we have the points ;
(0,6) and (4,-6)
So we have;
for f(0) to be 6, it means that the y-intercept b is 6
This is because the value of x at the y-intercept is 0
So we have this as;
f(x) = mx + 6
Now, let’s substitute the other point so as to get m
For the other point;
x = 4 and f(x) = -6
that means;
-6 = 4m + 6
4m = -6-6
4m = -12
m = -12/4
m = -3
So we have the equation as;
f(x) = -3x + 6
