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3 years ago

What is the slope of the line passing through the given points 4,2 and -2,1

Mathematics

1 answer:

solniwko [45]3 years ago

8 0

Answer:

Alright, here is the formula.

m = (y2 -- y1) / (x2 -- x1)

So, now we have to take the points and replace them with the variables.

m = (1 - 2) / (-2 - 4)

Great! So now, we have to solve.

1 - 2 = -1

-2 - 4 = -6

So now, it would be:

-1/6

That is the slope! Hope this helps! :)

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algol [13]

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x = 50.8°

Step-by-step explanation:

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3 years ago

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3 years ago

BRAINLIEST TO WHOEVER IS CORRECT!!!

AysviL [449]

Answer:

y= $-\frac{4}{3}$ x+2

Step-by-step explanation:

To write the equation for this line, we are going to use slope-intercept form, which is written as

y=mx+b.

Here are the meanings of each variable:

y= basically the "name" of the function and it always stays as y.

m= slope, which is rise over run.

x= variable that is always on the right of the slope and it always stays as x.

b= y-intercept, or the value that crosses the y-axis.

We will substitute numbers into the equation along the way. The first thing we will want to do is find b, which is the easiest.

The line crosses the y-axis at 2, so that is our value of b.

Our new equation is

y=mx+2.

Next, we will find the slope. The most efficient way of doing this is looking at the lowest point that is already provided, (3, -2), and finding a way to rise and run to the highest point, (0, 2).

If you look closely at the graph, we need to rise up 4 and run over -3 to get to the other point. Therefore, the slope is $-\frac{4}{3}$ , and we can substitute it into our equation, which is completed and is now

y= $-\frac{4}{3}$ x+2

I hope this helps you out!! Have an awesome day ^^

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3 years ago