What is the equation of the line that passes through the point(-6,-5) and has a slope of -1/2
1 answer:
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Answer:
Measure of side YX is 22 units.
Step-by-step explanation:
Since ΔVWZ ~ ΔXWY, their corresponding sides will be in the same ratio.
By substituting the values given in the picture in the ratio,
By cross multiplication,
2(3x - 9) = 3(x + 8)
6x - 18 = 3x + 24
(6x -18) + 18 = 3x + 24 + 18
6x - 3x = (3x + 42) - 3x
6x - 3x = 42
3x = 42
x =
x = 14
m(YX) = x + 8
= 14 + 8
= 22
Therefore, measure of side YX is 22 units.
See below for a plot of the equation.
The y intercept is the y location where x=0 and can be found by solving 6y=180, which is y=30.
Likewise, the x intercept follows from y=0, so 4x=180 => x=45.
The interpretation of the intercepts is: what is the plan if you go for all small tables (ie., y=0) or all big tables (x=0). The answer is: you can rent either 30 small tables or 45 big ones.
All the other points on the line represent some mix of small and big tables (of course, x and y must be integer because you can't rent half tables).
