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3 years ago

can someone help me understand how to find the slope intercept form in a equation using ( y=mx+b )please n thank you!

Mathematics

2 answers:

vagabundo [1.1K]3 years ago

7 0

Answer:

y=-1/2+3

Step-by-step explanation:

first, we have to determine if the slope is positive or negative. if it is going up to the right, it is positive. if it goes up to the left, it is negative. to find the slope, we need two or three points where the x and y values are both whole numbers. for this, we can use the y-intercept (0,3), (-2,4), and (-4,5). we can look at the line and see that from (0,3) to (-2,4) the line rises 1 and runs -2. this supports the claim that the slope is negative. from (-2,4) to (-4,5), the line rises 1 and runs -2. this is the same as the slope from (0,3) to (-2,4), so we can say that it is the slope of the line. since slope is written as rise over run, we can write the slope as -1/2. for the y-intercept, or b, we have to see what y is when x is 0. y is 3, so the y intercept is 3. in y=mx+b, m=slope and b=y intercept, so we plug these values in and we have the graph in slope intercept form.

kompoz [17]3 years ago

6 0

Answer:

Slope-intercept form: y = - ½x + 3

Step-by-step explanation:

In the slope-intercept form, y= mx + b:

m = slope

b = y-coordinate of the y-intercept, (0, <em>b</em>). The y-intercept is the point on the graph where it crosses the y-axis. At that given point, the value of x = 0.

Start by choosing two points from the graph that you could use to solve for the slope of the line. I often use the y-intercept as one of the points.

Use the following points: (0, 3) and (6, 0):

Let (x₁, y₁) = (0, 3) ⇒ This is the <u>y-intercept</u>.

(x₂, y₂) = (6, 0) ⇒ This is the x-intercept, the point on the graph where it crosses the x-axis.

Substitute these values into the following slope formula:

m = (y₂ - y₁)/(x₂ - x₁)

$m = \frac{0 - 3}{6 - 0} = \frac{-3}{6} = - \frac{1}{2}$

Hence, the <u>slope</u> of the line is: m = - ½.

As previously mentioned, one of the points we used to solve for the slope is the y-intercept, (0, 3). Its y-coordinate is the value of <em>b</em> = 3 that you will use for the equation.

Therefore, the linear equation in slope-intercept form is: y = - ½x + 3.

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4 years ago

Krisi took out a $500 discounted loan calculated using a simple interest rate of 5% for a period of 2 years. How much money does

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Step-by-step explanation:

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4 years ago

Read 2 more answers

What is the domain of f(x) = 2^x?

hammer [34]

The given function has no undefined points nor domain constraint. Thus, the domain is: $-\infty \: < x < \infty$ .

<h3>Domain and Range</h3>

The domain of a function is the set of input values for which the function is real and defined. In the other words, when you define the domain, you are indicating for which values x the function is real and defined. An example, there is a restriction for the domain of fractions. The variable x in the denominator should be different of zero.

While the domain is related to the values of x, the range is related to the possible values of y that the function can have.

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2 years ago

According to a random sample taken at 12 A.M., body temperatures of healthy adults have a bell-shaped distribution with a mean

mrs_skeptik [129]

Answer:

There are 89% of healthy adults with body temperatures that are within 3 standard deviations of the mean

The minimum value that is within 3 standard deviations of the mean is 96.57.

The maximum value that is within 3 standard deviations of the mean is 100.11.

Step-by-step explanation:

Chebyshev's theorem states that a minimum of 89% of the values lie within 3 standard deviation of the mean.

Using Chebyshev's theorem, what do we know about the percentage of healthy adults with body temperatures that are within 3 standard deviations of the mean?

There are 89% of healthy adults with body temperatures that are within 3 standard deviations of the mean.

What are the minimum and maximum possible body temperatures that are within 3 standard deviations of the mean?

We have that the mean $\mu$ is 98.34 and the standard deviation $\sigma$ is 0.59. So:

Minimum

$Mi = \mu - 3\sigma = 98.34 - 3(0.59) = 96.57$

Maximum

$Ma = \mu + 3\sigma = 98.34 + 3(0.59) = 100.11$

8 0

3 years ago

4x + 5y = 10

Vika [28.1K]

Answer:

For A = 32/5 and B = 8 the system of equations will have infinitely many solutions.

Step-by-step explanation:

Given equations are:

4x + 5y = 10

Ax + By = 16

The general form of linear equation in two variables is given by:

$ax+by = c$

Here a, b and c are constants and x,y are variables.

In the given equations, after comparing with the general form

$a_1 = 4\\b_1 = 5 \\c_1 = 10\\a_2 = A\\b_2 =B\\c_2 = 16$

"In order for a system of equations to have infinity many solutions,

$\frac{a_1}{a_2} = \frac{b_1}{b_2} = \frac{c_1}{c_2}$ "

Putting the values we get

$\frac{4}{A} = \frac{5}{B} = \frac{10}{16}\\\frac{4}{A} = \frac{5}{B} = \frac{5}{8}\\Now\\\frac{4}{A} = \frac{5}{8}\\\frac{A}{4} = \frac{8}{5}\\A = \frac{8}{5} * 4\\A = \frac{32}{5}\\And\\\frac{5}{B} = \frac{5}{8}\\\frac{B}{5} = \frac{8}{5}\\B = 8$

Hence,

For A = 32/5 and B = 8 the system of equations will have infinitely many solutions.

5 0

3 years ago