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kkurt [141]
3 years ago
14

Create a table for the equation with a y-intercept of 15 and a slope of -5. What is the output when x is -10?

Mathematics
1 answer:
Verizon [17]3 years ago
6 0

Answer:

The output is 65 when x is -10.

Step-by-step explanation:

y=mx+b is the easiest form to understand visually what the slope and intercept is.

m is the slope and b is the y-intercept. Replace both of these variables respectively with their appropriate values. In this case, the slope (m) is -5 and y-intercept is 15.

Equation looks like this: y=-5x+15

What is the output when x is -10? Replace x with 10, and your output is the y value.

y=-5(-10)+15\\y=50+15\\y=65

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A. Complete the table if y varies
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Direct variation is represented by the equation y = k × x and inverse variation is represented by y = k/x

Table 1:

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30 = k × 5

30 = 5k

k = 30/5

k = 6

So,

<em>y = 30 </em>

<em>y = 30 k = 6</em>

<em>y = 30 k = 6x = 5</em>

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y = 2x²

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<em>y = 72k = 2x = 6Equation: y = 2x²</em>

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y = k/x

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<em>y = 5</em>

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<em>y = 2k = 24</em>

<em>y = 2k = 24x = 12</em>

<em>y = 2k = 24x = 12Equation: y = 24/x</em>

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