Mathematics, 30.07.2019 06:50 Snowinvain

What is the linear function equation represented by the graph? enter your answer in the box. f(x)=

What is the linear function equation represented by the graph? enter your answer in the box. f(x)=<

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Answer from: dl34574

The linear function equation is $\boxed{y = \frac{1}{3}x - 4}.$

Further explanation:

The formula for slope of line can be expressed as,

$\boxed{m = \frac{{{y_2} - {y_1}}}{{{x_2} - {x_1}}}}$

Explanation:

The line intersect $\text{y}$ -axis at $\left( {0,- 4} \right).$

Therefore, the $\text{y}$ -intercept is -4.

The line passes through the points $\left( {0,- 4} \right)$ and $\left( {3,- 3} \right)$ .

The slope can be obtained as follows,

$\begin{aligned}m &= \frac{{- 3 - \left( { - 4} \right)}}{{3 - 0}}\\&= \frac{{ - 3 + 4}}{3}\\&= \frac{1}{3}\\\end{aligned}$

The slope of the line is $\dfrac{1}{3}.$

The slope intercept form of the linear equation is given as follows.

$\boxed{y = mx + k}$

Substitute $\dfrac{1}{3}$ for m and -4 for k in equation y = mx + k.

$y = \dfrac{1}{3}x - 4$

The linear function equation is $\boxed{y = \frac{1}{3}x - 4}.$

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If the clothing maker bought 500 m2 of this fabric, how much money did he lose? use 1tepiz=0.625dollar and 0.9144m=1yard link.Suppose that you find the volume of all the oceans to be 1.4×109km3 in a reference book. to find the mass, you can use the density of water, also found in this reference book, but first you must convert the volume to cubic meters. what is this volume in cubic meters? link.

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Linear equation

Keywords: graph function, numbers, slope, slope intercept, equation, linear function, linear equation, y-intercept, graph, representation, origin.

Answer from: bri9263

Two points on this line are (0,-4) and (3,-3)
The slope is 1/3 since we go up 1 and over to the right 3 units (when we go from (0,-4) to (3,-3))

We can see this using the slope formula
m = (y2 - y1)/(x2 - x1)
m = (-3 - (-4))/(3 - 0)
m = (-3 + 4)/(3 - 0)
m = 1/3

The y intercept is -4 as this is the location where the graph crosses the y axis.
So b = -4

Plug m = 1/3 and b = -4 into the equation y = mx+b

Doing so leads to the answer of y = (1/3)x - 4
Which is the same as f(x) = (1/3)x - 4

Answer from: Quest

5x + 5

step-by-step explanation:

you should always add the diagrams and graphs we cannot see. this particular question is kind of borderline because we can make a graph for you.

(f + g)x = -x^2 +3x + 5 + x^2 + 2x

(f + g)x = 5x + 5

the graph of z = 5x + 5 is shown below. always use desmos when in doubt.

Answer from: Quest

M< 5 = 80 , < 2 = 80, < 6= 100, < 3= 100, < 7= 80, < 4= 80, < 8= 100

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