What is the y-intercept of the line connecting (1,5) and (4,14)?

1 answer:

7 0

The answer is C. b=2.
I found the answer by first finding the slope. To find the slope i found the difference of the y values and divided that by the difference of the x values.
14-5/4-1
This simplifies down to:
9/3 which equals 3.
I then plugged this into the slope intercept form: y=mx+b to get y=3x+b
The next step would be to plug in the values of one of the points to solve for b. The point I choose was (1,5). By plugging this point into the equation i got 5=3(1)+b which simplifies to 5=3+b which means that b=2

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Line M passes through point (3,1) and is perpendicular to the line of the equation y=3x+4. Which equation describes the graph of

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Answer:

y = -1/3x + 2

Step-by-step explanation:

The gradient of the given line is 3 because (y = mx +c where m is the gradient)

Therefore, to find the gradient of the perpendicular line (at 90 degrees), you need to find the negative reciprocal.

The negative reciprocal of 3 is -1/3 because imagine if 3 = 3/1, to get the reciprocal, you flip it, and to get the negative, you just flip the sign.

Now we know that Line M is y = -1/3x + c, we need to find the y-intercept.

To do this, just input the point (3,1) into y = -1/3x + c, to get c. This is because we know (3,1) is on the line from the question.

So it would be 1 = (-1/3 x 3) +c

Which would be 1 = -1 +c

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Triangle A B C is shown. Angle A C B is a right angle. The length of the hypotenuse is 20.

kherson [118]

Answer:

The length of BC is needed because it is the side opposite ∠A.

Step-by-step explanation:

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According to SOH:

Sin(A) = Opposite/Hypotenuse

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Based on the formula, we will need to get the opposite side of the triangle which is length BC for us to be able to determine sinA since the hypotenuse is given.