Segment AB is shown on the graph.
1 answer:
Answer: D
Step-by-step explanation:
Plug in the ratio into the formula, so 2/2+3=2/5
Eliminate the first 2 options
Find the difference between x2 and x1
Find x2 and x1 by using the x-coordinates of the given points
I will use x1 as point a's x-value
x1=-3
x2=2
Altogether, you'll derive:
This matches D.
C won't work because although C and D will work with x1 and x2, C doesn't split it into a 2:3 ratio.
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This is a more difficult one to explain. Let's start with the line to the right. It has a slope (m) of = -1 and a y-intercept of +3 (continue the line to see where it crosses the y-axis). So, the equation of that line is: y = -x + 3 when x ≥ 2. This can also be written as y = 3 - x when x ≥ 2. The only option that has that equation is A.
Answer: A