Ask question

Ask question

All categories

2 years ago

8

Write the equation in point-slope form of the line that passes through (1, 4) and has a slope of 4/3

1 answer:

suter [353]2 years ago

6 0

Answer:

y - 4 = (4/3)(x - 1)

Step-by-step explanation:

point slope form is

y - y1 = m(x - x1)

m is the slope

(x1, y1) is a point on the line

----------------------------

for m = 4/3 and (x1, y1) = (1, 4)

y - 4 = (4/3)(x - 1)

You might be interested in

0.1x+0.2y=-1;0.5x-0.9y=6.4

Harman [31]

.1x+.2y=-1
.5x-.9y=6.4

×-5 equation .1x+.2y=-1

-.5x-y=5
.5x-.9y=6.4

solve by elimination

-1.9y=11.4
÷-1.9 both sides
y=-6

solve for X

.1x+.2 (-6)=-1
.1x-1.2=-1
+1.2 both sides
.1x=.2
÷ 1 both sides
x=2

plug into 2nd equation to see if it's true

x=2
y=-6

0.5(2)-0.9(-6)=6.4
1+5.4=6.4
6.4=6.4 answers hold true

4 0

3 years ago

Associations In Data:Question 10

Karo-lina-s [1.5K]

Answer:

$\bar X = \frac{62+63+68+72+79+80+83+93+94+95}{10}= 78.9$

$|62-78.9| = 16.9$

$|63-78.9| = 15.9$

$|68-78.9| = 10.9$

$|72-78.9| = 6.9$

$|79-78.9| = 0.1$

$|80-78.9| = 1.1$

$|83-78.9| = 4.1$

$|93-78.9| = 14.1$

$|94-78.9| = 15.1$

$|95-78.9| = 16.1$

$MAD = \frac{\sum_{i=1}^n |X_i -\bar X|}{n}$

And replacing we got:

$MAD =\frac{16.9+15.9+10.9+6.9+0.1+1.1+4.1+14.1+15.1+16.1}{10}= 10.12$

And the best anwer is

10.12

Step-by-step explanation:

We have the following data given:

62 63 68 72 79 80 83 93 94 95

And we need to begin finding the mean with the following formula:

$\bar X = \frac{\sum_{i=1}^n X_i}{n}$

And replacing we got:

$\bar X = \frac{62+63+68+72+79+80+83+93+94+95}{10}= 78.9$

Now we can find the mean absolute deviation like this:

$|62-78.9| = 16.9$

$|63-78.9| = 15.9$

$|68-78.9| = 10.9$

$|72-78.9| = 6.9$

$|79-78.9| = 0.1$

$|80-78.9| = 1.1$

$|83-78.9| = 4.1$

$|93-78.9| = 14.1$

$|94-78.9| = 15.1$

$|95-78.9| = 16.1$

And finally we can find the mean abslute deviation with the following formula:

$MAD = \frac{\sum_{i=1}^n |X_i -\bar X|}{n}$

And replacing we got:

$MAD =\frac{16.9+15.9+10.9+6.9+0.1+1.1+4.1+14.1+15.1+16.1}{10}= 10.12$

And the best anwer is

10.12

8 0

3 years ago

If c is a real number and if 1 + i is a solution of the equation x^2 -2x + c = 0, what is the value of c?

Nana76 [90]

Answer:

c = 2

Step-by-step explanation:

Substitute x = 1 + i into the equation

(1 + i)² - 2(1 + i) + c = 0 ← distribute left side

1 + 2i + i² - 2 - 2i + c = 0 ( note that i² = - 1 )

1 + 2i - 1 - 2 - 2i + c = 0 ← collect like terms on left

- 2 + c = 0 ( add 2 to both sides )

c = 2

6 0

3 years ago

Read 2 more answers

Find the slope and the y-intercept of the line 6x+2y=5.

Alexeev081 [22]

The slope is -3 I’m not sure about the intercept

3 0

3 years ago

5x+2y=7 as a ordered pair

Elenna [48]

(1, 1), 5 + 2 = 7, not that hard!

8 0

3 years ago

Read 2 more answers