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3 years ago

: The slope of the line that passes through the points (5,10) and (2,12) is

Mathematics

2 answers:

PtichkaEL [24]3 years ago

6 0

Answer:

-2/3

Step-by-step explanation:

To find the slope, you use rise over run. so 12 - 10 over 2 - 5. That is 2 over negative 3. so negative two thirds. I hope this helps and please mark me brainliest!

Effectus [21]3 years ago

5 0

Answer:

m = -2/3; b = 13 1/3

Step-by-step explanation:

ΔX = 2 – 5 = -3

ΔY = 12 – 10 = 2

2/-3 = -2/3

Equation for b:

$10 = -\frac{2}{3} (5)+b\\10 = -3 \frac{1}{3} +b\\13 \frac{1}{3} =b$

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Answer:

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2 years ago

Ignore the stuff around it ,could someone explain me this?

Ierofanga [76]

Answer:

The lines blue and green are perpendicular

Step-by-step explanation:

we know that

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is -1)

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

step 1

Find the slope of the blue line

we have the points

(-1,-3) and (0,3)

substitute

$m=\frac{3+3}{0+1}$

$m=\frac{6}{1}=6$

step 2

Find the slope of the red line

we have the points

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substitute

$m=\frac{2+3}{4-3}$

$m=\frac{5}{1}=5$

step 3

Find the slope of the green line

we have the points

(-4,-1) and (2,-2)

substitute

$m=\frac{-2+1}{2+4}$

$m=-\frac{1}{6}$

step 4

Compare the slopes

Blue line ----> $m=6$

Red line ----. $m=5$

Green line ---> $m=-\frac{1}{6}$

The slope of the blue line and the green line are opposite reciprocal ( their product is equal to -1)

therefore

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3 years ago

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Luba_88 [7]

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2 years ago

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Step-by-step explanation:

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3 years ago

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Tems11 [23]

Answer:

Step-by-step explanation:

Equation of blue line:

blue line is parallel to y-axis

⇒ x = 5

Equation of green line:

Green line is parallel to x-axis.

y = 2

Equation of red line:

At y-intercept x = 0. Point on red line is (0,5)

So, y-intercept = 5

y = mx + b Here, m is slope any b is y-intercept.

y = mx + 5

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7 = m*1 + 5

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y = 2x + b

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2 years ago