All categories

3 years ago

Find the equation of the line that is parallel to the given line and passes through the given point.

Mathematics

1 answer:

makkiz [27]3 years ago

7 0

Answer:

y= 4 x

Step-by-step explanation:

y =4x − 7

Choose a point that the parallel line will pass through.

(0 , 0 )

Use the slope-intercept form to find the slope.

Tap for fewer steps...

The slope-intercept form is

y = m x+ b , where m is the slope and b is the y-intercept. y = m x + b

Using the slope-intercept form, the slope is

4 . m = 4

To find an equation that is parallel to y = 4 x − 7 , the slopes must be equal. Using the slope of the equation, find the parallel line using the point-slope formula.

( 0 , 0 ) m = 4

Using the point-slope form

y − y 1 = m ( x −x 1 ) , plug in m = 4 , x 1 = 0 , and y 1 = 0 .

y − ( 0 ) = ( 4 )( x − ( 0 ) )

Solve for y.

Subtract 0 from y .

y = ( 4 ) ( x − ( 0 ) )

Subtract 0 from x .

y= 4 x

HOPE THIS HELPS!

pLEASE MARK bRAINLIEST! :)

You might be interested in

Copy each exerise $37 45¢

Ksju [112]

Which exercise to copy?

6 0

3 years ago

You launch a water balloon. The function h=-0.08t^2+1.6t+2 models the height h (in feet) of the water balloon after t seconds. W

stellarik [79]

Answer:

The initial height of the balloon is 2 feet.

Step-by-step explanation:

The height of the balloon in feet after t seconds is given by the following equation:

$h(t) = -0.08t^{2} + 1.6t + 2$

What is the initial height of the balloon?

This is h when t = 0, that is, h(0). So

$h(0) = -0.08*0^{2} + 1.6*0 + 2 = 2$

The initial height of the balloon is 2 feet.

4 0

3 years ago

Algebra: Find x ....

luda_lava [24]

Answer:

Step-by-step explanation:

The triangles are similar, thus the ratios of corresponding sides are equal, that is

$\frac{2x+1}{x+4}$ = $\frac{40}{25}$ = $\frac{8}{5}$ ( cross- multiply )

5(2x + 1) = 8(x + 4) ← distribute parenthesis on both sides )

10x + 5 = 8x + 32 ( subtract 8x from both sides )

2x + 5 = 32 ( subtract 5 from both sides )

2x = 27 ( divide both sides by 2 )

x = 13.5 → d

3 0

3 years ago

A letter used to represent a number in equations or expressions

natita [175]

The answer is “x”. “x” represents the missing number in the problem.

Example:
16+x=20
The missing number, 4, would be represented as x. Hope this helps!

6 0

2 years ago

If testing the claim that sigma subscript 1 superscript 2 baseline not equals sigma subscript 2 superscript 2σ21≠σ22, what do w

12345 [234]

Answer:

The statistic for this system of hypothesis is given by:

$F=\frac{s^2_1}{s^2_2}$

If the statistic is equal to 1 then that means $s^2_1 = s^2_2$ and we don't have enough evidence to conclude that the two population variances and deviations are different.

Step-by-step explanation:

System of hypothesis

We want to test if the variation for a group1 is equal to another one 2, so the system of hypothesis are:

H0: $\sigma^2_1 = \sigma^2_2$

H1: $\sigma^2_1 \neq \sigma^2_2$

Calculate the statistic

The statistic for this system of hypothesis is given by:

$F=\frac{s^2_1}{s^2_2}$

If the statistic is equal to 1 then that means $s^2_1 = s^2_2$ and we don't have enough evidence to conclude that the two population variances and deviations are different.

6 0

3 years ago