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3 years ago

What is the equation of a line, in point-slope form, that passes through (-4, -1) and has a slope of (5, 7)

2 answers:

8 0

It is y+1=0.9(x+4) because the formula is y - y1=m(x + x1) you only need one point and the slope. If you have two points, you need to find the slope by using the slope formula slope=y2-y1/x2-x1. Filling it in it would look like slope=7-(-1)/5-(-4). The double negatives cancel each other out and it turns to addition signs leaving us with slope=7+1/5+4 so the slope is 8/9 or 0.9. Now you can fill out the point-slope formula y+1=0.9(x+4)

skad [1K]3 years ago

8 0

The point-slope equation of a line:

y - y1 = m(x - x1)

where (x1, y1) is a point on the line, and m is the slope.

slope = m = (y2 - y1)/(x2 - x1) = (-1 - 7)/(-4 - 5) = -8/-9 = 8/9

You can use either point as (x1, y1). I will use point (5, 7).

y - 7 = (8/9)(x - 5)

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Which equation represents the slope-intercept form of the line below? y intercept: 0, 8 slope : 1/2

Natali [406]

Answer:

y = 1/2 x + 8

Step-by-step explanation:

We are given the y intercept and the slope, so we can write the equation using the slope intercept form

y = mx+b where m is the slope and b is the y intercept

y = 1/2 x + 8

6 0

3 years ago

Find the slope of a line with equation 4y + x = 8.

uranmaximum [27]

Answer:

m = -1/4

Step-by-step explanation:

4y + x = 8

Arrange the equation in a slope intercept form y = mx+b, where m is the slope

4y + x = 8, subtract x from both sides

4y = -x +8, divide both sides by 4

y = -x/4 + 8/4 , simplify

y = -x/4 + 2, compare this to the general form y=mx+b and we see that the slope m = -1/4

4 0

2 years ago

Read 2 more answers

27,643,087 nearest million

Evgen [1.6K]

28,000,000 will be the answer

7 0

3 years ago

Read 2 more answers

Sam bought a teddy bear for $3.75 and a stuffed unicorn for $7.50. He gave the cashier $20. How much change did he receive? *

kenny6666 [7]

Answer:

3.75+7.5 = 11.25

20 dollars in total how much change.

20 - 11.25 = 8.75

$8.75 change

7 0

2 years ago

Find the sum of the first 8 terms of the following sequence. Round to the nearest hundredth if necessary

AlexFokin [52]

The sum of the first 8 terms is 2.51 to the nearest hundredth

Step-by-step explanation:

In the geometric sequence there is a constant ratio between each two consecutive terms

The formula of the sum of n terms of a geometric sequence is:

$S_{n}=\frac{a(1-r^{n})}{1-r}$ , where

a is the first term
r is the constant ratio between the consecutive terms

∵ The sequence is 6 , -5 , 25/6 , .............

∵ -5 ÷ 6 = $\frac{-5}{6}$

∵ $\frac{25}{6}$ ÷ -5 = $\frac{-5}{6}$

- There is a constant ratio between the consecutive terms

∴ The sequence is a geometric sequence

∵ The first term is 6

∴ a = 6

∵ The constant ratio is $\frac{-5}{6}$

∴ r = $\frac{-5}{6}$

∵ We need to find the sum of 8 terms

∴ n = 8

- Substitute the values of a, r and n in the rule above

∴ $S_{8}=\frac{6[1-(\frac{-5}{6})^{8}]}{1-(\frac{-5}{6})}$

∴ $S_{8}=2.511595508$

- Round it to the nearest hundredth

∴ $S_{8}=2.51$

The sum of the first 8 terms is 2.51 to the nearest hundredth

Learn more:

You can learn more about the sequences in brainly.com/question/7221312

#LearnwithBrainly

3 0

4 years ago