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3 years ago

Write an equation in slope-intercept form: (1,6) and (2,3) are on the line

Mathematics

1 answer:

s344n2d4d5 [400]3 years ago

5 0

Step-by-step explanation:

eqn of line : y = mx+ c

m = slope or gradient

c = y-intercept.

Lets take (1,6) = (x1,y1) and (2,3) = (x2,y2)

$m \: = \frac{y1 - y2}{x1 - x2} \\ = \frac{6 - 3}{1 - 2} \\ = \frac{3}{ - 1} \\ = - 3$

Substitute x = 1 and y = 6 into equation,

$6 = ( - 3)(1) + c \\ 6 = - 3 + c \\ c = 6 + 3 \\ = 9$

Therefore substituting m and c value, equation of line is

$y = - 3x + 9$

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Answer:

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Step-by-step explanation:

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3 years ago

Which of the following equations describes the graph?

Artist 52 [7]

Answer:

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Step-by-step explanation:

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4 years ago

Mia removes the plug from a trough to drain the water. The volume, in gallons, in the trough after it has been unplugged can be

STALIN [3.7K]

Answer:

The correct option is D) (5x − 2)(2x − 3).

Step-by-step explanation:

Consider the provided expression.

$10x^2-19x+6$

Where x is time in minutes.

We need to find the appropriate form of the expression that would reveal the time in minutes when the trough is empty.

When the trough is empty the whole expression becomes equal to 0.

Substitute the whole expression equal to 0 and solve for x that will gives us the required expression.

$10x^2-19x+6=0$

$10x^2-15x-4x+6=0$

$5x(2x-3)-2(2x-3)=0$

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Now consider the provided option.

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Hence, the correct option is D) (5x − 2)(2x − 3).

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4 years ago

Is this correct? Help me please

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Answer:

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Step-by-step explanation:

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3 years ago

Vilgot made a hat, then a scarf. He graphed the relationship between the total weight (in grams) of the yarn he had used and the

lisov135 [29]

Answer:

b) x-intercept

Step-by-step explanation:

First Vilgot made a hat with some amount of yarn, let us assume the weight of yarn used to be 'h', which is fixed. Then we assume the weight of yarn used to make unit length of scarf be 'm'.

The sum of the weight of yarn used to make hat and scarf both is 'x' and the length of scarf is 'y', as given in the question.

The sum of weight of scarf and hat can also be expressed as:

( weight of yarn used to make hat ) + ( weight of yarn used to make unit length of yarn ) × ( length of scarf made )

The above equation in terms of variables (assumed and given) will appear like:

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The above equation is represented by the graph given in the question.

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Therefore the x- intercept of graph give h which is the weight of yarn used to make hat.

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4 years ago