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Alenkinab [10]
3 years ago
14

One line passes through the points (−1,6) and (2,0). A second line passes through the points (−5,5) and (−1,9). At what point do

the two lines intersect
Mathematics
1 answer:
r-ruslan [8.4K]3 years ago
7 0

Answer:

(-2,8)

Step-by-step explanation:

Slope m = (y2-y1)/(x2-x1)

Line 1: m = (0 - 6)/(2 - -1) = -6/3 = -2

y = mx+ b => y = -2x + b => 0 = -2(2) + b => 0 = -4 + b => b = 4

y = -2x + 4

Line 2: m = (9 - 5)/(-1 - -5) = 4/4 = 1

y = mx + b => y = x + b => 9 = -1 + b => b = 10

y = x + 10

When the 2 line intersects, they will same the same (x,y)

so line 1 = line 2

-2x + 4 = x + 10

-2x - x = 10 - 4

-3x = 6

x = -2

y = -2x + 4 = -2(-2) + 4 = 8

so the lines intersect at (-2,8)

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<h3>What is the Angles Addition Theorem?</h3>

The angles addition theorem states that if an angle is bisected to form two smaller angles, then the sum of the measures of the two smaller angles equals the measure of the original angle that is bisected.

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