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pickupchik [31]
3 years ago
13

what is the equation of a line passing through (1,-4) and (-2,5)? please help! i will mark brainliest

Mathematics
2 answers:
Natasha_Volkova [10]3 years ago
6 0

Answer:

m=-3

Step-by-step explanation:

bekas [8.4K]3 years ago
6 0

Answer:

y = -3x - 1

Step-by-step explanation:

The slope of a line is a measure of how fast the line "goes up" or "goes down". A large slope means the line goes up or down really fast (a very steep line). Small slopes means the line isn't very steep. A slope of zero means the line has no steepness at all; it is perfectly horizontal.

For lines like these, the slope is always defined as "the change in y over the change in x" or, in equation form:

So what we need now are the two points you gave that the line passes through. Let's call the first point you gave, (1,-4), point #1, so the x and y numbers given will be called x1 and y1. Or, x1=1 and y1=-4.

Also, let's call the second point you gave, (-2,5), point #2, so the x and y numbers here will be called x2 and y2. Or, x2=-2 and y2=5.

To find b, think about what your (x,y) points mean:

(1,-4). When x of the line is 1, y of the line must be -4.

(-2,5). When x of the line is -2, y of the line must be 5.

Because you said the line passes through each one of these two points, right?

Now, look at our line's equation so far: y=-3x+b. b is what we want, the -3 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the two points (1,-4) and (-2,5).

So, why not plug in for x and y from one of our (x,y) points that we know the line passes through? This will allow us to solve for b for the particular line that passes through the two points you gave!.

You can use either (x,y) point you want..the answer will be the same:

(1,-4). y=mx+b or -4=-3 × 1+b, or solving for b: b=-4-(-3)(1). b=-1.

(-2,5). y=mx+b or 5=-3 × -2+b, or solving for b: b=5-(-3)(-2). b=-1.

See! In both cases we got the same value for b. And this completes our problem.

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8 0
2 years ago
HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Gre4nikov [31]

Answer:

93° (to the nearest degree)

Step-by-step explanation:

sum of the interior angles of a triangle = 180°

Find angle C first, then subtract angle C and angle B from 180° to find angle A.

Use the sine rule \frac{sinA}{a}=\frac{sinB}{b}=\frac{sinC}{c} to find angle C:

Therefore,

              \frac{sinB}{b}=\frac{sinC}{c}

              \frac{sin38}{9}=\frac{sinC}{11}

         angle C = 48.80523914...°

Angle A = 180 - 38 - 48.80523914...°

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7 0
2 years ago
Someone who's good at math please help me!!!
timurjin [86]
#1.
Here what you do is cross multiply.
\frac{8x}{13x}
#2.
Same as #1, just cross multiply.
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You get the gist?
8 0
3 years ago
A cone-shaped water tank is completely filled. The tank has a depth of 12 feet and a radius of 29 feet. A pump removes water fro
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Answer:

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Step-by-step explanation:

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Answer:

this would not not be a valid conclusion because only that class was included In the poll not the entire school. Another method to determine the most popular subject is to include every class(the entire school)in the poll

7 0
3 years ago
Read 2 more answers
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