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2 years ago

Equation of a line pass through origin in called

Mathematics

1 answer:

mafiozo [28]2 years ago

7 0

The equation of a straight line with gradient m passing through the origin is:

$\displaystyle y=mx$

The line passes through the origin, so the y-intercept is $0$

$\displaystyle y=mx+b$

$\displaystyle y=mx+0$

$\displaystyle y=mx$

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2 years ago

What is the midpoint of FB

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Answer:

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2 years ago

What will be the result of substituting 2 for x in both expressions below? One-half x + 4 x + 6 minus one-half x minus 2 Both ex

tiny-mole [99]

Replace x with 2 and solve each equation:

1/2(2) + 4 = 1 + 4 = 5

2+ 6 -1/2(2) -2 = 8-3 = 5

The answer is:

both expressions equal 5 when substituting 2 for x because the expressions are equivalent.

7 0

2 years ago

Find the equation of the line that passes through the following points. Write the equation in slope-intercept form.

ra1l [238]

Answer:

The equation in the slope-intercept form will be:

y = 1/4x - 7

Step-by-step explanation:

Given the points

(-4.-8)

(-8, -9)

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(-4,\:-8\right),\:\left(x_2,\:y_2\right)=\left(-8,\:-9\right)$

$m=\frac{-9-\left(-8\right)}{-8-\left(-4\right)}$

$m=\frac{1}{4}$

We know that the slope-intercept of line equation is

$y=mx+b$

where m is the slope and b is the y-intercept

substituting m = 1/4 and the point (-4, -8) to find the y-intercept 'b'

y = mx+b

-8 = 1/4(-4)+b

-8 = -1 + b

b = -8+1

b = -7

so the y-intercept = b = -7

substituting m = 1/4 and b = -7 in the slope-intercept form of line equation

y = mx+b

y = 1/4x + (-7)

y = 1/4x - 7

Thus, the the equation in slope-intercept form will be:

y = 1/4x - 7

6 0

2 years ago

ZA and ZB are vertical angles. If mZA= (5x – 4) and mZB = (2x – 1)º, then find the value of x. INI

natulia [17]

Answer:

x = 1

Step-by-step explanation:

It is given that,

∠A and ∠B are vertical angles.

∠A = (5x – 4) and ∠B = (2x – 1)

We need to find the value of x.

We know that, the vertical angles are equal. So,

∠A=∠B

(5x – 4)=(2x – 1)

Taking like terms together,

5x-2x = 4-1

3x=3

x = 1

So, the value of x is equal to 1.

4 0

2 years ago