Solve screen shot attachment EASY
1 answer:
Answer:
Step-by-step explanation:
Step 1: Write out equation
d(-3 + x) = kx + 9
Step 2: Distribute <em>d</em>
-3d + dx = kx + 9
Step 3: Subtract 9 on both sides
-3d + dx - 9 = kx
Step 4: Subtract dx on both sides
-3d - 9 = kx - dx
Step 5: Factor out <em>x</em>
-3d - 9 = x(k - d)
Step 6: Divide both sides by k - d
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Part (a)
<h3>Answer: y1 and y3 are perpendicular</h3>This is because the two slopes 2 and -1/2 multiply to -1. Perpendicular slopes multiply to -1 assuming neither line is vertical or horizontal.
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Part (b)
Graph each line to see where they cross. The three points of intersection are
(0,4)
(2,-2)
(4,2)
The order of the points doesn't matter.
You could also form three systems of equations pairing up the equations, and solving each system. That way you can find the points of intersection. Graphing may be a better and faster route in my opinion. See the diagram below.
