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3 years ago

Draw a line through the origin that has a slope of 4/3

Mathematics

1 answer:

Ket [755]3 years ago

6 0

Answer:

The graph in the attached figure

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$ or $y=kx$

In a proportional relationship the constant of proportionality k is equal to the slope m of the line <u><em>and the line passes through the origin</em></u>

In this problem the given line represent a proportional relationship, because passes through the origin

we have

$k=\frac{4}{3}$ ---> the constant of proportionality k is equal to the slope

substitute

The linear equation is

$y=\frac{4}{3}x$

To draw a line we need two points

we have (0,0)

To find the other point

assume x=3 and substitute in the equation to solve for y

$y=\frac{4}{3}(3)=4$

The other point is (3,4)

using a graphing tool

Plot the points (0,0) and (3,4)

To graph the line join the points

see the attached figure

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gulaghasi [49]

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3 years ago

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In-s [12.5K]

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If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

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1 year ago

Which number line shows -4 , 1,1 and 2 correctly plotted

Colt1911 [192]

Answer:

Step-by-step explanation:

The number line in option C contains the points -4, -1, 1 and 2 correctly plotted.

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2 years ago

HELP please!!<br> “Find the volume of the sphere rounded to the nearest hundredth

zvonat [6]

Answer:

904.32 cm^3

Step-by-step explanation:

The formula for the volume of a sphere is V=4/3πr³. Since r is given, we can plug that in for r. I'm assuming that we are using 3.14 for pi, so when we plug in all the values in the equation we get V = 4/3*3.14*6³, which solves out to 904.32.

5 0

3 years ago

What is the rate of change and initial value of the linear function modeled by a line passing through the points (0,8) and (3,-1

kumpel [21]

The rate of change is equal to rise over run
= (-1 - 8)÷(3 - 0)
= -9 ÷ 3
= -3

When you say initial value I'm assuming you mean the y-intercept

In that case you first need to find the equation of the line by substituting the gradient and point into the gradient intercept formula

y - 8 = -3(x - 0)
y = -3x + 8

The y-intercept is when x = 0 so,

y = -3(0) + 8
Therefore y = 8

3 0

3 years ago