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2 years ago

Find the equation of a line that passes through the point (-2,1) and has a gradient of -3.

1 answer:

6 0

A straight line passing through the point (-2,1) and having a gradient of -3 yields the equation y = -3x - 5.

We know that a straight line is an infinitely long line with no curves on it. A straight line's equation is

y = mx + c...(1), where m is the gradient of the straight line and c is a constant.

Given that the gradient of the given straight line = m = -3.

Putting this value in (1), we get

y = -3x + c ...(2)

Again, the given straight line passes through the point (-2,1). So, we can put x = -2 and y = 1 to get the value of the constant c.

So, 1 = (-3)(-2) + c

i.e. 6 + c = 1

i.e. c = 1 - 6 = -5

(2) can be written as

y = -3x - 5

Therefore the equation of the given straight line is

y = -3x - 5

Know more about straight lines here -

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grigory [225]

Answer:

$10(1+7x)$

Step-by-step explanation:

Just factored out the 10.

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3 years ago

Which linear inequality is represented by the graph?

Tamiku [17]

Answer:

Option (4)

Step-by-step explanation:

From the graph attached,

A dotted line passes through two points (3, 1) and (-3, -3)

Let the equation of the given line is,

y = mx + b

where 'm' = slope of the line

b = y-intercept

Slope of a line passing through $(x_1, y_1)$ and $(x_2,y_2)$ is,

m = $\frac{y_2-y_1}{x_2-x_1}$

For the given points,

m = $\frac{1+3}{3+3}$

m = $\frac{2}{3}$

y-intercept 'b' = -1

Therefore, equation of the given line will be,

$y=\frac{2}{3}x-1$

Since graphed line is a dotted line so it's representing an inequality(having < or > sign)

And the shaded part is below the dotted line,

Inequality will be,

y < $\frac{2}{3}x-1$

Therefore, Option (4) will be the answer.

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3 years ago

cehgg A costing system that first assigns costs to activities and then to products is a.job-order costing. b.activity-based cost

Ronch [10]

Answer:b.activity-based costing.

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THIS TYPE OF COSTING IS ALSO KNOWN AS ABC APPROACH TO COSTING IT FIRST ASSIGN RESOURCES TO ACTIVITIES AND FROM ACTIVITIES TO PRODUCTS BASED ON THE CONSUMPTION ESTIMATES.

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3 years ago

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CaHeK987 [17]

don't know if this might help but here

Step-by-step explanation:

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2 years ago

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crimeas [40]

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3 years ago