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Andreyy89
3 years ago
12

Which table represents la linear function?

Mathematics
1 answer:
lions [1.4K]3 years ago
3 0

Answer:

I believe it would be the last table.

Step-by-step explanation:

A linear function has an equation of y=Mx+b where y and x are the variables but m (the slope) and b are constants. The slope for the last table is -8 as the y values are decreasing by 8 every time you move forward one in the x axis. None of the other tables have a constant slope which means they don’t have straight lines when you graph them. Therefore, the last table would have to be the only one representing a linear function

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Solution:

Given data: slope = -\frac{3}{4} and y-intercept = –1

y-intercept means (x, y) = (0, –1)

Equation of a line for slope intercept form: y-y_1=m(x-x_1)

Here, x_1=0, y_1=-1 and m=-\frac{3}{4}.

⇒ y-(-1)=\frac{-3}{4} (x-0)

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Do cross multiplication.

⇒ 4(y+1)=-3x

⇒ 4y+4=-3x

⇒ 4y=-3x-4

Divide both sides of the equation by 4.

⇒ y=-\frac{-3x}{4}-\frac{4}{4}

⇒ y=-\frac{-3x}{4}-1

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3 years ago
I need a better understanding of this. Help please!
Anvisha [2.4K]
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3 years ago
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Whats nine рlus ten ?
EleoNora [17]

Answer:

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Step-by-step explanation:

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3 years ago
What is the equation of the line that passes through the point (-9. 6) and is
hram777 [196]

Answer:

The perpendicular equation is y = -3x -21

Step-by-step explanation:

Perpendicular lines have the exact opposite slope as the other equation and they never have the same y-intercept.

To find the perpendicular slope just look at the slope in the original equation and get the exact opposite.

First let's simplify the equation.

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The exact opposite of this slope would be -3.

Now plug in the point you were given so that we can find the y-intercept.

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6 = 27 + b (subtract 27 on both sides)

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So the perpendicular equation looks like this.

y = -3x -21

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