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stellarik [79]
3 years ago
6

The graph shows the cost of a pizza buffet depending on the number of guests. Th line defines a relationship in the form y = mx

+ b. Based on the data in the graph, what are the values of m and b?

Mathematics
1 answer:
solniwko [45]3 years ago
8 0

Since b is the y-intercept (where the line crosses the y-axis and x=0), we know it's 10; b or c. And slope is determined by taking 2 points on the graph (that is graphed or marked by the line) and divide the difference of the y coordinates by the difference of the x coordinates to get the answer, which is 2. So overall, the answer is 10:2, or C.

10:2, or C.

Hope this helped! If it didn't, tell me what went wrong so I can fix it.

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consider the line y= 2/3x-0. Find the equation of the line that is parallel to this line and passes through the point (8, 4).
tresset_1 [31]
Point-slope form of a line: we need a point (x₀,y₀) and the slope "m".
y-y₀=m(x-x₀)

slope intercept form :
y=m+b

m=slope

If the line is parallel to y=2/3 x-0, the line will have the same slope, therefore the slope will be: 2/3.

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if we have the next slope "m",then the perendicular slope will be:
m´=-1/m

We have this equation: y=2/3 x+0; the slope is: m=2/3.

The perpendicular slope will be: m`=-1/(2/3)=-3/2

And the equation of the perpendicular line to : y=2/3 x+0, given the point (8,4) will be:

y-y₀=m(x-x₀)
y-4=-3/2 (x-8)
y-4=-3/2 x+12
y=-3/2x + 12+4
y=-3/2x+16

answer: the perpendicular line to y=2/3 x+0 , given the point (8,4) will be:
y=-3/2 x+16
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Answer

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The answer would be 17.
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