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3 years ago

What's the equation in slope intercept form for the line that passes through the points (1,-3 ) and (3 ,1)

1 answer:

Elena-2011 [213]3 years ago

6 0

$\text{The slope-intercept form}\ y=mx+b\\\\m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\text{We have the points}\ (1, -3)\ \text{and}\ (3,10).\ Substitute:\\\\m=\dfrac{1-(-3)}{3-1}=\dfrac{4}{2}=2\to y=2x+b\\\\\text{substitute the coordinates of the point (3, 1) to the equation:}\\\\1=2(3)+b\\1=6+b\qquad|-6\\\\-5=b\to b=-5\\\\Answer:\ \boxed{D.\ y=2x-5}$

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What is the slope intercept form of (3,3) (7,-1)

kow [346]

Slope intercept form follows this general equation...
$y=mx+b$
With this information you have posted, all you can do is find slope, your m. To calculate for slope, you need to use this following equation...
$m= \frac{y_2-y_1}{x_2-x_1}$
Then, you pick one of your coordinate pairs to be 1 and the other to be 2. I will choose the first coordinate pair as 1, so...
$m=\frac{-1-3}{7-3} =-1$
You plug in -1 into your slope formula...
$y=-1x+b$
Now, to find your y-intercept, or b, you must plug in one of your coordinate pairs. In that equation, you may plug in the values (3,3), so you'll have...
$3=-1(3)+b$
Just solve for b and you will be done

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2 years ago

Read 2 more answers

Factor out the GCF: 16x + 48

valentinak56 [21]

Answer: 16(x + 3)

Step-by-step explanation: When you're asked to a polynomial, the first thing you want to look for is the greatest common factor between the terms that are involved.

So what is the greatest common factor of 16x and 48?

The greatest common factor of 16x and 48 is 16 because

it's the largest number that divides evenly into 16 and 48.

The x does not qualify because it must appear in every term

to qualify for the GCF but here, it only appears in one term.

So a 16 factors out leaving us with each term divided by it

inside a set of parentheses so w eget 16(x + 3).

Notice that if we distributed the 16 through both terms,

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3 years ago

The sketch shows the distance three runners travel during a race. Describe what occurs at times A,B,C and D. In what order do th

goldfiish [28.3K]

Answer:

Notice that the distance is in the y-axis, and the time in the x-axis.

First, let's see what happens in the four points:

A) You can see that in point A, the steepness of the line increases, this means that the speed of the runner increases in that point.

B) In this point, the runner that increased his/her speed in point A crosses the graph of another runner, this means that they are at the same distance to the end and at the same time.

C) In this point again two runners are at the same distance and the same time, and we also can see that the runer that increased his/her speed at point A, now has reached the end of the race (because his line stops increasing, wich means that he/she already finished the race)

D) The las runner finishes the race at point D.

Then the first runner that finishes the race is the one with the shorter graph (shorter graph means that he ran for less time than the others, wich means that he/she finished first)

The last runner is the one that finished at point D,

The middle one finishes right after the point C.

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