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Helen [10]
3 years ago
11

What is the equation of a line that passes through the points (3, 6) and (8, 4) in slope intercept form?

Mathematics
1 answer:
MrMuchimi3 years ago
6 0

Answer:

y=-\frac{2}{5}x +8.4

Step-by-step explanation:

Gradient

m =\frac{y-y1}{x-x1}

m = \frac{6-4}{3-8}

m=-\frac{2}{5}

Equation of a line

(y-y1)=m(x-x1)\\

- Sub one set of points into equation

(y-6)= -\frac{2}{5} (x-6)

y=-\frac{2}{5}x +8.4  

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If y varies directly as x, and y is 20 when x is 4, what is the constant of variation for this relation?
Ludmilka [50]

Answer:

Step-by-step explanation:

y = k*x                    This is the formula for a direct variation.

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20 = 4 * k                        Divide by 4

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If 30g of sugar is needed to make 4 cakes how much grams of sugar is needed to make 7 cakes
arsen [322]
There's two ways to do this.

The first way:
Work out the amount of sugar needed to make one cake, and then multiply that by 7.

30 grams ÷ 4 cakes = 7.5 grams for 1 cake.
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The second way:
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7 cakes ÷ 4 cakes = 1.75
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Either way, the answer is 52.5 grams.
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