All categories

3 years ago

What is the Equation of the graphed line in point slope form

Mathematics

1 answer:

Alona [7]3 years ago

4 0

Answer:

y + 3 = (2/3)(x + 3)

Step-by-step explanation:

We can read the y-intercept directly from the graph: (0, -1). Another point on this line is (3, 1). As we move from the point (0, -1) to the point (3, 1), x increases by 3 and y increases by 2. Thus, the slope of this line is

m = rise / run = 2/3.

Starting from the general point-slope form of the equation of a straight line:

y - k = m(x - h), where (h, k) is a point on the line and m is the slope, we get:

y - [-3] = (2/3)(x - [-3]), or y + 3 = (2/3)(x + 3)

You might be interested in

Find the derivative of f(x) = negative 9 divided by x at x = -4. (6 points) 4 divided by 9 16 divided by 9 9 divided by 16 9 div

Len [333]

Answer:

9/16

Step-by-step explanation:

$f(x)=-\frac{9}{x}$

$f(x)=-9x^{-1}$

Derivative rule:

$f(x)=x^{n} \\$

$\frac{df}{dx}=nx^{n-1}$

Here, n=-1, so

$\frac{df}{dx}=(-9)(-1)x^{-2} =\frac{9}{x^{2} }$

Evaluating this at x=-4 gives 9/16

5 0

2 years ago

Read 2 more answers

NEED TO KNOW ASAP PLEASE HELP

AnnyKZ [126]

Answer:

You are squaring x and -5 on the first equation, and on the second equation you are just squaring x and subtracting 5.

Step-by-step explanation:

And since on the first equation x and -5 are in parenthesis that means that the square goes to both of them.

And the second one there is no parenthesis so the square only goes to the x.

I hope this helps you.

5 0

3 years ago

What is a slope on a graph

Schach [20]

A line that never changes, so you can choose whatever two points you want and you will always get the same slope.

3 0

3 years ago

Read 2 more answers

A cheese wheel has a radius of 4 in. What is the circumference of the wheel? Round your answer to the nearest hundredths.

ale4655 [162]

Step-by-step explanation:

$2 \times \frac{22}{7} \times 4 \\$

$\frac{11}{7} \times 4$

$\frac{44}{7}$

6 0

2 years ago

Read 2 more answers

The measure of anglerst can be represented by the expression (6x 12)°. three lines extend from point s. the space between lines

miv72 [106K]

Answer:

∠RST = 120°

Step-by-step explanation:

We assume the positions of the lines and angles will match the attached figure. The angle addition theorem gives a relation that can be solved for x, then for the value of angle RST.

∠RSU +∠UST = ∠RST

78° + (3x -12)° = (6x +12)° . . . . . substitute given values into the above

54 = 3x . . . . . . . . . . . . . . . . divide by °, subtract 3x+12

108 = 6x . . . . . . . . . . . multiply by 2

120° = (6x +12)° = ∠RST . . . . add 12, show units

The measure of angle RST is 120 degrees.

_____

Additional comment

Note that we don't actually need to know the value of x (18) in this problem. We only need to know the value of 6x.

7 0

1 year ago

What is the Equation of the graphed line in point slope form ​

What is the Equation of the graphed line in point slope form