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Kipish [7]
3 years ago
11

Write the equation of the line that passes through the points (0, -5) and (2, -1).

Mathematics
1 answer:
IRISSAK [1]3 years ago
5 0

Answer:

y = -2x + 3

Step-by-step explanation:

To find the slope, we can use this formula: y2 - y1/x2 - x1

Y2 is the y - coordinate from the second coordinate, so you should be able to figure out what the rest of the letters represent in that formula.

So we would plug in the coordinates and find the slope.

-1 - (-5)/2 - 0

4/-2

slope = m = -2

We know the slope and coordinates, so we can plug those into the equation and find the y intercept, or b.

y = mx + b

-1 = -2(2) + b

-1 = -4 + b

3 = b

Now we know the slope and y intercept so we can put them into the equation to find the final equation, which is: y = -2x + 3

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4x^4-2

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Write the direct variation function given that y varies directly with x, and y = 1.5 when x = 5.
Cloud [144]

Answer:

y=0.3x

Step-by-step explanation:

Formula = K=\frac{y}{x}

y α x

y = kx

Where k is the constant of proportionality.

When y = 1.5; x = 5;

We substitute these known values in the equation,

y = kx

1.5 = k5

Dividing both sides of the equation by 5 to find the value for k, we have

1.5/5= k0.3/5

Therefore,

K = 0.3

Having found the value of k,

We substitute this value into the relationship

y = kx

Therefore we have,

y = 0.3x.

The direct variation function is therefore,

y = 0.3x.

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3 years ago
If (-3, y) lies on the graph of y = 3-x, then y =
AnnyKZ [126]

Answer:

y=6

Step-by-step explanation:

y=3-x

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