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2 years ago

What is the equation of this graphed line?

Mathematics

1 answer:

lorasvet [3.4K]2 years ago

4 0

Slope: (y2-y1)/(x2-x1)
Points: (-4,-6), (2,6)
(6+6)/(2+6) = 12/8 = 3/2
Y = 3/2x +b
-6 = 3/2(-4) + b
-6 = -6 + b, b = 0
Equation: y = 3/2x

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Step-by-step explanation:

Here is the complete question

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3 years ago

Write an equation (in slope-intercept form) of the line that passes through (0, 3) and (−5, 2.5).

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The equation of the line passing throught the points $A(x_A,y_A)$ and $B(x_B,y_B)$ has a form

$\dfrac{x-x_A}{x_B-x_A}=\dfrac{y-y_A}{y_B-y_A}.$

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$\dfrac{x-0}{-5-0}=\dfrac{y-3}{2.5-3}.$

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This equation is in slope-intercept form.

Answer: y=0.1x+3.

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3 years ago