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frutty [35]
2 years ago
13

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

Mathematics
1 answer:
Phoenix [80]2 years ago
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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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

And so c = 2

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3 years ago
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Step-by-step explanation:

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Answer:

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Tins eats 8 crackers for a snack each day at school.on Friday,she drops 3 and only eats 5. multy​
Pie

Answer:

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Step-by-step explanation:

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