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SUPER EASY WILL GIVE BRAINLEIST IF DONE BY 5:30 PM. PLEASE ANSWER SERIOUSLY OR WILL REPORT USER. THANK YOU <3

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mathstudent55

Answer:

4x - 3

Step-by-step explanation:

We can use the slope-intercept form of the equation of a line.

Slope:

For each change of 1 in x, there is a change of 4 in y.

slope = (change in y)/(change in x)

slope = 4/1 = 4

Intercept:

The y-intercept is the value of y when x = 0.

Look at the table. The first line has x = 1, y = 1.

Since we already know that each time we add 1 to x, we add 4 to y, we can find out what the line with x = 0 is.

Start with x = 1, y = 1.

Subtract 1 from x and 4 from y.

You get x = 0, y = -3.

That y-intercept is -3.

That that we know the slope and the y-intercept, we can write the equation.

y = 4x - 3

The last line is:

x      4x - 3

gmany

Answer:

4x - 3

Step-by-step explanation:

[tex]\bold{METHOD\ 1:}\\\\1\to1\\2\to1+4=5\\3\to5+4=9\\4\to9+4=13\\5\to13+4=17\\6\to17+4=21\\\vdots\\\text{It's an arithmetic sequence with the first term}\ a_1=1,\\\text{and the common difference}\ d=4.\\\\\text{The explicit formula of an arithmetic sequence:}\\\\a_n=a_1+(n-1)d\\\\\text{Substitute:}\\\\a_n=1+(n-1)(4)=1+4n-4=4n-3[/tex]

[tex]n=x\to a_x=4x-3[/tex]

[tex]\bold{METHOD\ 2:}\\\\\text{The table show the linear function.}\\\text{The slope-intercept form od a line:}\\\\y=mx+b\\\\m-slope\\\\\text{The formula of a slope:}\\\\m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\text{Select any two points from the table.}\\(1,\ 1),\ (5,\ 17)\\\\\text{Calculate the slope:}\\\\m=\dfrac{17-1}{5-1}=\dfrac{16}{4}=4\\\\\text{Put it and the coordinates of the point (1, 1) to the equation of a line:}\\\\1=4(1)+b\\1=4+b\qquad\text{subtract 4 from both sides}\\-3=b\to b=-3\\\\\text{Finally:}\\\\y=4x-3[/tex]

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