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Y_Kistochka [10]
3 years ago
14

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

Mathematics
1 answer:
Ierofanga [76]3 years ago
7 0

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

(3,-3) and (4,2)

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}

so

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

therefore

The lines blue and green are perpendicular

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