You can't use 1 point on a line to make a full slope. To make a full slope you would need 2 points on a line. To make more than one slope you would need more than 2 points on a line.
Hope this helped! :D
Answer:
y = -4x-21
Step-by-step explanation:
Hi there!
We want to write an equation of the line that passes through (-4, -5) and is parallel to y=-4x-1.
Parallel lines have the same slopes. So let's find the slope of y=-4x-1.
The line is written in the form y=mx+b, where m is the slope and b is the y intercept.
As -4 is in the place of where m should be, -4 is the slope of y=-4x-1.
It's also the slope of the line parallel to that line.
Right now, what we know about the line parallel to y=-4x-1 is that the slope of it is 4 and it passes through the point (-4, -5).
We can substitute those values into the formula for point-slope form, which is , where m is the slope and is a point.
We can label the values of everything to help us avoid confusion.
m=-4
Now substitute those values into the formula. Note: the formula contains SUBTRACTION, and we have NEGATIVE numbers. Hence,
Now simplify.
On the right side, do the distributive property.
y+5=-4x-16
Subtract 5 from both sides.
<u>y=-4x-21</u>
Hope this helps!
I believe option C is the correct answer
Answer:
The cost of each pair of shoes before the discount=$67.65
Step-by-step explanation:
Step 1
Use the expression below to determine original cost of the 2 pairs of shoes as follows;
A=O-R
where;
A=total bill after discount
O=original cost of 2 pairs of shoe
R=discount amount
In our case;
A=$110.50
O=unknown=x
R=15% of O=(15/100)×x=0.15 x
replacing;
115=x-0.15 x
115=0.85 x
x=115/0.85
x=135.294
Original cost of the 2 pairs of shoes=$135.294
Original cost of a pair of shoes=135.294/2=$67.65
The cost of each pair of shoes before the discount=$67.65