Write the equations of two lines that intersect at the point (-2,3). Check that (-2,3) satisfies both equations.

Danika Mckay

Danika Mckay

Answered question

2022-10-13

Write the equations of two lines that intersect at the point (-2,3). Check that (-2,3) satisfies both equations.

Answer & Explanation

na1p1a2pafr

na1p1a2pafr

Beginner2022-10-14Added 16 answers

Let equation 1 be x+y=A substitute x=-2 and y=3 in this equation and evaluate A, therefore:
(-2)+3=A
Solve:
A=1
This implies that equation 1 is x+y=1.
Let equation 2 be -x+y=B substitute x=-2 and y=3 in this equation and evaluate B, therefore:
-(-2)+3=B
Solve:
B=5
This implies that equation 2 is -x+y=5.
Result:
Two lines that intersect at (-2,3) can have equations x+y=1 and -x+y=5.

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