Answer:
Option A) They are parallel because their slopes are equal.
Step-by-step explanation:
We are given the following in the question:
Line AB:
(-4, -2), (4,4)
Line CD:
(0,-3), (4,0)
Formula to calculate slope =

Slope of AB =

Slope of CD =

Thus,

Thus, the two lines are parallel.
Option A) They are parallel because their slopes are equal.
Answer: y=6x+7
Step-by-step explanation:
To find the equation of the line, we want to find the slope with the formula
.

Now that we know th eslope, we can start to fill out the equation. To find the y-intercept, we can plug in a given point and solve.
y=6x+b
1=6(-1)+b [multiply]
1=-6+b [add both sides by 6]
b=7
Now, we know the equation is y=6x+7.
First, find the 40% discount.
40% of 195 is 78
195 x 0.40 = 78
Subtract that from 195
195 - 78 = 117
Now, find 66 2/3% of 117, since it is an additional reduction after the original discount.
2/3 = 0.667, so 66 2/3% is 66.667%
117 x 0.66667 = 78.00039
And subtract that from 117
117 - 78.00039 = 38.99961, which in dollars would be $38.99. (hundredths, etc. of a cent are usually just dropped; no rounding involved.)
The discount price would then be $38.99
Answer:
Page 3 - the y-intercept would remain at 5 and the slope would be 3 times the upward slope.
Page 5 - the y-intercept would remain at -2 and the slope would be 1/4 instead of 5
Step-by-step explanation:
In point slope form the slope and y-intercept can be read directly from the equation.
y = mx + b where m is the slope and b is the y-intercept.
Since I don't see attachment, I guess the solution will be as follows:
1 & 3/4 , since 1 = 4/4, then it could be rewritten :
4/4 & 3/4, hence between these 2 fraction there is 2/4 or 1/2.