Answer:
Equation of line in slope-intercept form is: y = -8x-39
Step-by-step explanation:
Given points are:
(-4, -7) and (-6, 9)
The slope-intercept form is given by the equation
![y = mx+b](https://tex.z-dn.net/?f=y%20%3D%20mx%2Bb)
Here m is the slope of the line and b is the y-intercept.
m is found using the formula
![m = \frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
Here
(x1,y1) = (-4-7)
(x2,y2) = (-6,9)
Putting the values in the formula
![m = \frac{9+7}{-6+4} = \frac{16}{-2} = -8](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B9%2B7%7D%7B-6%2B4%7D%20%3D%20%5Cfrac%7B16%7D%7B-2%7D%20%3D%20-8)
Putting slope in general equation
![y = -8x+b](https://tex.z-dn.net/?f=y%20%3D%20-8x%2Bb)
Putting (-6,9) in the equation
![9 = -8(-6)+b\\9 = 48+b\\b = 9-48\\b = -39](https://tex.z-dn.net/?f=9%20%3D%20-8%28-6%29%2Bb%5C%5C9%20%3D%2048%2Bb%5C%5Cb%20%3D%209-48%5C%5Cb%20%3D%20-39)
Putting the value of b we get
![y = -8x-39](https://tex.z-dn.net/?f=y%20%3D%20-8x-39)
Hence,
Equation of line in slope-intercept form is: y = -8x-39
Answer:
outfit costs 81 dollars
Step-by-step explanation:
Answer:
Perimeter: 18 ft
Height: 7 ft
Base Area: 12
Surface Area: (7)*(8) + 2(47) = 150
Step-by-step explanation:
To find the perimeter add all the edges together.
5 + 5 + 8 = 18
To find the height look at the diagram. 7ft shows the height of the rectangle and thus is the height for the rest of the shape.
Base Area:
Multiply the length (8ft) of the base by the height of the base (3ft)
8 * 3 = 24
Then divide by 2 to get the total area of the triangle
24 / 2 = 12.
Surface Area:
To find the surface area you to need to find the specifics of each side.
The base area we already solved for which is 12. We'll get back to this in a minute. The other double sides are of 5 * 7. That equals 35. Add together 12 + 35 to get 47. That is what will go in the 2(___) box because both of those sides have 2. It is the same number when done this way versus just adding them up.
47 * 2 = 94
12 + 12 + 35 + 35 = 94
Then for the (___)(___) that would be 7ft * 8ft because it is the only side left and does not have a double so it must be separate.
7 * 8 = 56
56+94 = 150
Answer:
4, 7
Step-by-step explanation:
7y + 4 +4x + 7
The only like terms are the constants 4 and 7
7y is like yogurt and 4x is like xrays, we don't mix them