All categories

3 years ago

What is an equation of a line, in point-slope form, that passes through (1,-7) and has a slope of -2/3?

Mathematics

1 answer:

Brut [27]3 years ago

3 0

Answer: y + 7 = -2/3 (x - 1 )

Step-by-step explanation:

The equation of a line in point - slope form is given as :

$y-y_{1}$ = m( $x-x_{1}$ )

Where m is the slope and ( $x_{1}$ , $y_{1}$ ) is the given point

substituting the values into the formula , we have:

y - (-7) = -2/3 ( x - 1)

y + 7 = -2/3(x - 1 )

You might be interested in

Can someone please help with the last problem

Brut [27]

Answer:

18x +9h

Step-by-step explanation:

Such problems are tedious, but not difficult. The trick is to avoid making mistakes in the algebra.

$\dfrac{f(x+h)-f(x)}{h}=\dfrac{(9(x+h)^2)-(9x^2)}{h}\\\\=\dfrac{9(x^2+2xh+h^2)-9x^2}{h}=\dfrac{18xh+9h^2}{h}=\boxed{18x+9h}$

3 0

2 years ago

Find the sum 18,997.9 + 421.19

Igoryamba

Answer:

19,419.09

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Plz help me will give brainlyest

Tom [10]

Answer:

1. x = independent variable: Age

y = dependent variable: Accidents

2. Age scale and Accidents scale

The scale for age ranges from 15 - 30 with the value of 5 difference between each number.

While the accidents scale ranges from 0 -1 with no difference in between.

3. In my opinion, the scatter plot looks as though it decreases in accidents once the age rises. As seen from the data shown.

Step-by-step explanation:

1) x is considered as the independent variable, while y is considered the dependent value.

2) There are two sets of scales, one for the x and the other for y. These scales are the values that are interpreted in order to show data of the graph, due to their number and various size(s).

3) If you were to draw a line through the graph, you can somewhat create the image that the line would go down into the right corner! Meaning that it is decreasing over time.

4 0

3 years ago

Read 2 more answers

Suppose that the functions r and s are defined for all real numbers x as follows.

mixas84 [53]

ANSWER

Given

$r(x) = x - 1$

and

$s(x) = 3 {x}^{2}$
ANSWER TO QUESTION 1

$(r + s)(x) = r(x) + s(x)$

$(r + s)(x) = x - 1 + 3 {x}^{2}$

$(r + s)(x) = 3 {x}^{2} + x - 1$

ANSWER TO QUESTION 2

$(r \times s)(x) = r(x) \times s(x)$

$(r \times s)(x) = (x - 1) \times 3 {x}^{2}$

$(r \times s)(x) = 3 {x}^{3} - 3 {x}^{2}$

ANSWER TO QUESTION 3

$( r - s)(x) = r(x) - s(x)$

$( r - s)(x) = x - 1 - 3 {x}^{2}$

$( r - s)( - 3) = (- 3) - 1 - 3 ({ - 3}^{2} )$

$( r - s)( - 3) = - 4 - 3 \times 9$

$( r - s)( - 3) = - 4 - 27 = - 31$

4 0

3 years ago

Whats the value of x and what is the length of side UW

solmaris [256]

We will calculate this by using ratios and because these two triangles are similar, which is very important.

Explanation:

We see that the FG = 9 corresponds to the VU = 21. Therefore, FH = 18 corresponds to the UW = x.

9 : 21 = 18 : x

x = (21*18)/9

x = 378/9

x = 42.

The correct answer is B. 42.

5 0

3 years ago