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3 years ago

Write the equation for the line that has a slope of -4 and passes through the point (-2, 2)

2 answers:

8 0

Answer: y= -4x+ 6

Step 1: Write an equation

To start off, let’s write the outline for the equation we will need. From my understanding of the question, we will need to put the equation in slope- intercept form. Let’s write the formula now.

y= mx+ b

Step 2: Substitute information

Now that we know the formula, we need to substitute the information we are given. Let’s start with the slope, which is represented in the equation by the letter m.

y= mx+ b
y= -4x+ b

Step 3: Solve

Now let’s solve for b. We will do so by substituting the given point into the equation by changing y and x. We will use that information to solve, which will bring us the only other unknown variable, b. Let’s do this now.

y= -4x+ b
2= -4(-2)+ b
2= 8+ b
6= b

Step 4: Revise equation

We now know the answer for b. We can substitute this into the equation. Since y and x can remain a variable, this will complete our equation.

y= -4x+ 6

Hope this helps! Comment below for more questions.

Fynjy0 [20]3 years ago

5 0

Answer:

y = -4x - 6

Step-by-step explanation:

y = -4x + b

2 = -4(-2) + b

2 = 8 + b

-6 = b

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Suppose <br> g(x) = x^2f(x)<br> and it is known that f(3) = 5 and f '(3) = −2. Evaluate g'(3).

vlabodo [156]

g'(x)=(x^2)'(f(x))+(f'(x))(x^2)

g'(x)=(2x)(f(x))+(f'(x))(x^2)

for g'(3)

g'(3)=(2(3))(f(3))+(f'(3))(3^2)

g'(3)=(6)(5)+(-2)(9)

g'(3)=30-18

g'(3)=12

7 0

4 years ago

Find the length of the third side.if necessary, round to the nearest tenth 24 18

VashaNatasha [74]

Answer:

Step-by-step explanation:

\text{Legs: 18, 24}\hspace{20px}\text{Hypotenuse: ?}

Legs: 18, 24Hypotenuse: ?

a^{2}+b^{2}=

\,\,c^{2}

The Pythagorean Theorem

18^{2}+24^{2}=

+24

\,\,c^{2}

Plug in. c is the hypotenuse.

324+576=

\,\,c^{2}

Square the numbers.

900=

\,\,c^{2}

Add.

\sqrt{900}=

900

\,\,\sqrt{c^{2}}

Square root both sides.

30=

\,\,c

The hypotenuse.

7 0

3 years ago

Find the area of the right triangle.<br> Be sure to include the correct unit in your answer.

deff fn [24]

Answer:

the area of the triangle is 187.5cm^2

Step-by-step explanation:

1/2 × b × h

1/2 × 15 × 25

A = 187.5 cm^2

4 0

3 years ago

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

Lunna [17]

−5 < a − 4 < 2

+4 +4

-1 < a < 6

Answer is B. The second one

7 0

4 years ago

Graphing linear equations

ella [17]

Answer:

To ensure uniformity on an exam

To test whether you can distinguish between the two formats

Step-by-step explanation:

Standard form is when a straight line equation is rearranged in the form:

$ax + by = c$

Therefore y=2x+4 in standard form is

$2x - y = - 4$

The slope-intercept form is when a a straight line equation is written in the form:

$y = mx + c$

where m is the slope and c is the y-intercept.

The given equation is

$y = - \frac{1}{2} x - 5$

This is already in slope-intercept form:

The standard form and slope-intercept forms are just formats.

Your instructor may restrict you to leave your answer in one of these formats maybe for uniformity on a test.

You may also decide to rewrite an equation in slope-intercept form, so that you can easily identify the slope and y-intercept easily for graphing purpose.

6 0

4 years ago