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The two lines, P and Q, are graphed below: Line P is drawn by joining ordered pairs negative 8,15 and 6, negative 12. Line Q is drawn by joining ordered pairs 4,16 and negative 9,10 Determine the solution and the reasoning that justifies the solution to the systems of equations

2 Answers

6 votes

Answer:

(−2, 4), because it is the point of intersection of the two graphs

Explanation:

BECAUSE

User Ruchir Shukla
by
7.9k points
3 votes

Answer:


\text{Solution: }\left(-(2654)/(435),(1644)/(145)\right)

Explanation:

Line P is drawn by joining ordered pairs (-8,15) and (6,-12)

Using two point formula of line. Find equation of line P


(y-15)/(x-(-8))=(-12-15)/(6-(-8))


(y-15)/(x+8)=(-27)/(6+8))


(y-15)/(x+8)=(-27)/(14)


y=(-27)/(14)(x+8)+15


y=(-27)/(14)x+(-27)/(14)* 8 + 15


y=(-27)/(14)x-(3)/(7)


\text{Equation of line P:}y=(-27)/(14)x-(3)/(7)

Line Q is drawn by joining ordered pairs (4,16) and (-9,10)

Using two point formula of line. Find equation of line Q


(y-16)/(x-4)=(10-16)/(-9-4)


(y-16)/(x-4)=(-6)/(-13)


(y-16)/(x-4)=(6)/(13)


y=(6)/(13)(x-4)+16


y=(6)/(13)x-(6)/(13)* 4 + 16


y=(6)/(13)x+(184)/(13)


\text{Equation of line Q:}y=(6)/(13)x+(184)/(13)

Using graphing find solution of system of equation.

We draw the line on graph and see the intersection point.

Please see the attachment of the line.


The two lines, P and Q, are graphed below: Line P is drawn by joining ordered pairs-example-1
User Keishla
by
8.9k points

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