A refrigerator is 34 cubic feet For how many residents is it

A refrigerator is 34 cubic feet. For how many residents is it the recommended size? Find an equation of the line (simplified to y = mx+b form) satisfying the following conditions Slope is 4 and contains (0, -7) Contains (3, 4) and is Parallel to 3y = 9x+ 4 Passes through the points (2, 7) and (-3, 4) Graph the equation. Identify the coordinates of any 3 points on the line. Find the x and y intercepts and graph the equation: x+2y=-6 Identify the points and \"test point\'\' you use to graph the linear inequality: -3x-5y

Solution

6)
y = mx + b
slope,m = 4
y-intercept, b = -7

So, y = mx + b becomes:

y = 4x + (-7)

y = 4x - 7

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7)
3y = 9x + 4 has slope = 9/3 = 3
So, y = 3x + b

Usin point (3,4) , we can find constant b :
4 = 3(3) + b
b = -5

So, answer :
y = 3x - 5

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8)
Slope = (4 - 7) / (-3 - 2)
m= -3/-5
m = 3/5

And now, y = (3/5)x + b

Using point (2,7) :
7 = (3/5)(2) + b
b = 7 - 6/5
b = 29/5

So, equation is :

y = (3/5)x+ 29/5 --> ANSWER

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