For this case we have that by definition, the equation of a line in the slope-intersection form is given by:
![y = mx + b](https://tex.z-dn.net/?f=y%20%3D%20mx%20%2B%20b)
Where:
m: Is the slope
b: Is the cut-off point with the y axis
According to the data of the statement we have to:
![m = -2](https://tex.z-dn.net/?f=m%20%3D%20-2)
Then, the equation is of the form:
![y = -2x + b](https://tex.z-dn.net/?f=y%20%3D%20-2x%20%2B%20b)
We substitute the point
and find "b":
![-3 = -2 (-5) + b\\-3 = 10 + b\\-3-10 = b\\b = -13](https://tex.z-dn.net/?f=-3%20%3D%20-2%20%28-5%29%20%2B%20b%5C%5C-3%20%3D%2010%20%2B%20b%5C%5C-3-10%20%3D%20b%5C%5Cb%20%3D%20-13)
Finally, the equation is:
![y = -2x-13](https://tex.z-dn.net/?f=y%20%3D%20-2x-13)
To graph we place the points
and
on the coordinate axis and join the points by a line.
ANswer:
![y = -2x-13](https://tex.z-dn.net/?f=y%20%3D%20-2x-13)
The graphic is attached.
I don't know bestie you didn't exactly give us an example :o
The situation above is an arithmetic sequence with the third term (a3) equal to $285 and sixth term (a6) equal to $510. To determine the nth term of the arithmetic sequence, use the equation,
an = a1 + (n - 1)d
where a1 is the first term and d is the common difference. To solve for these, use the given values,
285 = a1 + (3-1)(d)
510 = a1 + (5 -1)(d)
Solving for the unknowns gives an answer of a1 = 60 and d = 112.5.Thus, the equation is,
y = 60 + 112.5x
Step-by-step explanation:
The area of the triangle is, 8×6/2 = 24 in²
The area of the rectangle is, 8×4=32 in²
The area of the irregular figure is,
(24+32) in²
= 56 in²
Answered by GAUTHMATH
26 - 12 = $14
She will need to spend more than $14 now