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3 years ago

Find the equation of the line passing through the points (-2,8) and (8,- 7). Write the equation in

Mathematics

2 answers:

german3 years ago

4 0

Answer:

Step-by-step explanation:

$y=mx+b\\ \\ m=\frac{-7-8}{8-\ -2}=\frac{-15}{10}=\ -\frac{3}{2}\\ \\ y=\ -\frac{3x}{2}+b,\ (-2,8)\\ \\ 8=\ -\frac{3(-2)}{2}+b\\ \\ 8=3+b,\ b=5\\ \\ y=\frac{10-3x}{2}$

ollegr [7]3 years ago

4 0

Answer: y = - 3/2x + 5

Step-by-step explanation:

To write the equation in slope intercept form, you will have to find the slope and the y-intercept.

(-2,8) (8,-7)

To find the slope using these points, you will find the difference in the y coordinates and divide it by the difference in the x coordinates.

-7 - 8 = - 15

8 - (-2) = 10

Slope: -15/10 = -3/2

The slope is -3/2

Now using the formula y=mx+b , use one of the given points and the slope to solve for b , which is the y-intercept.

8 = -3/2(-2) + b

8 = 3 + b

-3 -3

b = 5

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According to the Fundamental Theorem of Algebra, the graph of f(x) = x2 - 4x + 3, has roots. From the graph we can see that it h

andreyandreev [35.5K]

Answer:

The graph $f(x)=x^2-4x+3$ has two zeros namely 3 and 1.

Step-by-step explanation:

Consider the given equation of graph $f(x)=x^2-4x+3$

According to the Fundamental Theorem of Algebra

For a given polynomial of degree n can have a maximum of n roots.

Thus, for the given equation $f(x)=x^2-4x+3$ the degree of polynomial is 2 , thus the function can have maximum of 2 roots.

We know at roots the value of function is 0 that is f(x) = 0,

Substitute f(x) = 0 , we get, $f(x)=x^2-4x+3=0$

This is a quadratic equation, $x^2-4x+3=0$

We first solve it manually and then check by plotting graph.

Quadratic equation can be solved using middle term splitting method,

here, -4x can be written as -x-3x,

$x^2-4x+3=0 \Rightarrow x^2-x-3x+3=0$

$\Rightarrow x(x-1)-3(x-1)=0$

$\Rightarrow (x-3)(x-1)=0$

Using zero product property, $a\cdot b=0 \Rightarrow a=0\ or \ b=0$

$\Rightarrow (x-3)=0$ or $\Rightarrow (x-1)=0$

$\Rightarrow x=3$ or $\Rightarrow x=1$

Thus, the two zero of f(x) are 3 and 1.

We can also see on graph attached below that the graph $f(x)=x^2-4x+3$ has two zeros namely 3 and 1.

3 0

3 years ago

If 3 people share 4 cookies equally how many cookies will they get

melamori03 [73]

Answer:

1.33333333

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

NO ONE IS HELPING PLEASE. Find the value of x in each case! IF U GET THIS I WILL MARK BRAINLIEST. 25 POINTS ON THE LINE! Thank y

Murrr4er [49]

Answer:

Step-by-step explanation:

Use corresponding angles.

Angle FBC is 180 - 147 which is 33.

This means x is 180 - 33 - Angle EBA.

EBA is 180 - 4x.

x = 180 - 33 - (180 - 4x)

x = 180 - 33 - 180 + 4x

-3x = 180 - 33 - 180

-3x = -33

3x = 33

x = 11

Please mark brainliest.

6 0

2 years ago

Select the correct answer.

Julli [10]

Answer:

Your answer for the above equation is D

3 0

2 years ago

Triangles ΔABC ≅ ΔBAD so that C and D lie in the opposite semi-planes of segment AB. Prove that segment CD bisects segment AD.

kolbaska11 [484]

Answer:

See explanation

Step-by-step explanation:

Triangles ΔABC and ΔBAD are congruent. So,

AB ≅ BA;
AC ≅ BD;
BC ≅ AD;
∠ABC ≅ ∠BAD;
∠BCA ≅ ∠ADB;
∠CAB ≅ ∠DBA.

Consider triangles AEC and BED. In these triangles,

AC ≅ BD;
∠EAC ≅ ∠EBD (because ∠CBA ≅ ∠BAD);
∠AEC ≅ ∠BED (as vertical angles).

So, ΔAEC ≅ ΔBED. Thus,

AE ≅ EB.

This means that segment CD bisects segment AD.

6 0

3 years ago