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2 years ago

Find the slope of the line that passes through the given points (2,-7), (1,4)

Mathematics

1 answer:

a_sh-v [17]2 years ago

6 0

Answer:

Slope “m” = 1

Hence, the slope of the required line is 1.

Step-by-step explanation:

7/2+ -4/1 = 3/3 which is a whole number

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Suppose a line L has an equation Ax+By+C==0, what is the slope of L if B=0 and A does not equal 0

White raven [17]

If B=0, and A≠0, then
Ax+C=0, or x=-C/A, a constant value.
This signifies L is a vertical line with slope ∞

8 0

3 years ago

Write the equation of the line that passes through (3, -2) and has a slope of 4 in point slope form

diamong [38]

y=mx+b is the equation of a line;

m=slope , b= y-intercept

m=4 ; so we have : y=4x+b

We are give a set of points which it passes through, we can simply plug them in:

-2 = 4(3)+b (3 is the x and -2 is the y)

We get -2 = 12 +b .... -14=b

our final equation is : y=4x-14

4 0

2 years ago

Read 2 more answers

Please help and also include an explanation so I know how you got the answer.

Nastasia [14]

Answer:

x = 15

Step-by-step explanation:

We know that 4x° + 8x° make a straight angle of 180°.

4x° + 8x° = 180°

12x° = 180°

12x = 180

x = 180/12 = 15

4 0

2 years ago

Read 2 more answers

If the expression 4c + 2b + 4d is subtracted from 3c + 4b + 5d then the answer will be<br>

kirill [66]

Answer:

1c 2b 1d

Step-by-step explanation:

did the math

6 0

3 years ago

Read 2 more answers

Solve the following triangle. Given A=51 degrees b=40 c=45

STALIN [3.7K]

Answer:

$a=36.87\ units$

$B=57.47^o$

$C=71.53^o$

Step-by-step explanation:

step 1

Find the length side a

Applying the law of cosines

$a^2=b^2+c^2-2(b)(c)cos(A)$

substitute the given values

$a^2=40^2+45^2-2(40)(45)cos(51^o)$

$a^2=1,359.4466$

$a=36.87\ units$

step 2

Find the measure of angle B

Applying the law of sines

$\frac{a}{sin(A)} =\frac{b}{sin(B)}$

substitute the given values

$\frac{36.87}{sin(51^o)} =\frac{40}{sin(B)}$

$sin(B)=\frac{sin(51^o)}{36.87}{40}$

$B=sin^{-1}(\frac{sin(51^o)}{36.87}{40})=57.47^o$

step 3

Find the measure of angle C

Remember that the sum of the interior angles in any triangle must be equal to 180 degrees

$A+B+C=180^o$

substitute the given values

$51^o+57.47^o+C=180^o$

$108.47^o+C=180^o$

$C=180^o-108.47^o=71.53^o$

5 0

3 years ago