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2 years ago

What is the slope of the line?

Mathematics

1 answer:

g100num [7]2 years ago

5 0

Answer:

-1/2

Step-by-step explanation:

to find slope, just remember "rise/run" meaning how far it goes up or down over how far it moves left or right

for this one, since it goes down one and right two, the slope is -1/2

hope this helps!! :)

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3 years ago

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2 years ago

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3 years ago

Write an equation in slope-intercept form of the line that passes through (-1, 4) and (0, 2).

arsen [322]

Answer:

$y=-2x+2$

Step-by-step explanation:

Hi there!

Slope-intercept form: $y=mx+b$ where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)

<u>1) Determine the slope</u>

$m=\frac{y_2-y_1}{x_2-x_1}$ where the two given points are $(x_1,y_1)$ and $(x_2,y_2)$

Plug in the given points (-1, 4) and (0, 2)

$=\frac{2-4}{0-(-1)}\\=\frac{-2}{0+1}\\=\frac{-2}{1}\\= -2$

Therefore, the slope of the line is -2. Plug this into $y=mx+b$ :

$y=-2x+b$

<u>2) Determine the y-intercept</u>

$y=-2x+b$

Recall that the y-intercept is the value of y when the line crosses the y-axis, meaning that the y-intercept occurs when x is equal to 0.

One of the given points is (0,2). Notice how y=2 when x=0. Therefore, the y-intercept of the line is 2.

Plug this back into the equation:

$y=-2x+2$

I hope this helps!

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2 years ago

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just olya [345]

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2 years ago