All categories

3 years ago

Write the slop intercept form of the equations below.

Mathematics

2 answers:

Yanka [14]3 years ago

5 0

Step-by-step explanation:

Given :-

1. slope= 1/4,y intercept = 4
2. y-5=-4(x+1)

And we need to find the slope intercept form of the line . The slope intercept form of a line is y = mx + c , where m is the slope and c is the y intercept. Substitute respective values ,

Solution 1 :-

$:\implies$ y = mx + c

$:\implies$ y = 1/4 x + 4

$:\implies$ 4y = x + 16

$:\implies$ x - 4y + 16 = 0

Solution 2 :-

$:\implies$ y - 5 = -4( x +1)

$:\implies$ y -5 = -4x -4

$:\implies$ y = -4x +1

ohaa [14]3 years ago

4 0

1 is y=1/4x+4
2 is y=x+1

You might be interested in

Put the steps in correct order to prove that if x is irrational, then 1/x is irrational using contraposition.

SOVA2 [1]

Answer:

The correct order is:

Step-by-step explanation:

First, let's write 1/x in a convenient way for us:

a) Substitute 1/x = p/q, to obtain x = 1/(1/x) = 1/(p/q) = q/p.

Now we assume that 1/x is rational (we want to prove that this implies that x will be also rational and because we know that x is irrational assuming that 1/x is rational will lead to an incongruence), then:

c. If 1/x is rational, then 1/x = p/q for some integers p and q with q ≠ 0. Observe that p is not 0 either, because 1/x is not 0.

Now we know that we can write x as a quotient of two integers, we need to imply that, then the next one is:

d) Observe that x is the quotient of two integers with the denominator nonzero.

And that is the definition of rational, then we end with:

b) Hence x is rational.

Which is what we wanted to get.

5 0

2 years ago

Write an equation of a line that passes through (-6, 1), parallel to y = 2x – 6.

Eddi Din [679]

Answer:

y = -1/2x - 2

Step-by-step explanation:

If it's parallel, that means that the slope is the opposite of the one in the given equation, meaning that 2 would be flipped and turned negative into -1/2.

Then, fill in the x and y values to get the y-intercept.

1 = -1/2(-6) + b

1 = 3 + b

-2 = b

So your answer is y = -1/2x - 2

4 0

3 years ago

In a survey, 11 people were asked how much they spent on their child's last birthday gift. The results were roughly bell-shaped

pickupchik [31]

Answer:

The population standard deviation is not known.

90% Confidence interval by T₁₀-distribution: (38.3, 53.7).

Step-by-step explanation:

The "standard deviation" of $14 comes from a survey. In other words, the true population standard deviation is not known, and the $14 here is an estimate. Thus, find the confidence interval with the Student t-distribution. The sample size is 11. The degree of freedom is thus $11 - 1 = 10$ .

Start by finding 1/2 the width of this confidence interval. The confidence level of this interval is 90%. In other words, the area under the bell curve within this interval is 0.90. However, this curve is symmetric. As a result,

The area to the left of the lower end of the interval shall be $1/2 \cdot (1 - 0.90)= 0.05$ .
The area to the left of the upper end of the interval shall be $0.05 + 0.90 = 0.95$ .