Given:
A line passes through the points (2,-1) and (1,-5).
To find:
The equation of the line.
Solution:
If a line passes through the two points, then the equation of the line is

The line passes through the points (2,-1) and (1,-5). So, the equation of the line is




Using distributive property, we get


Subtract 1 from both sides.


Therefore, the correct option is B.
Answer:
Each hotdog costs $1.65
Each juice drink costs $1.05
Step-by-step explanation:
Let's begin by letting
represent the number of hot dogs and
the number of juice drinks.
The Baxter family bought 6 hot dogs and 4 juices for $14.10.

The Farley family bought 3 hot dogs and 4 juices for $9.15.

Now, we subtract these equations.

Since
has reversed coefficients, it gets eliminated. Now solve for x.



NOW, we find y by substituting x with 1.65 (in either equation).
We'll use the first equation.




= 1.65
= 1.05
represents hotdogs and
represents juice drinks.
Therefore, each hotdog costs $1.65 and each juice drink costs $1.05.
<em> I hope this helps! :)</em>
Answer:
y=-½x + 1
Step-by-step explanation:
1.) a perpendicular lines uses the opposite inverse of a line so the slope becomes -½x
2.) make an equation that looks as so:
y=-½x+b
the y intercept is unknown so it must be a variable.
3.) substitute the points you are given into the equation:
3=-½(4)+b
4.) solve for b
3=2+b
-2|-2
1=b
4.) place b into the equation
y=-½x + 1
The answer is B since he bought 4 in all it is x+y =4 . x=dvd y= blue ray discs .
so 2x + 5y =11
2x since dvds are $2
5y since blue ray discs are $5
11 since that’s the total