Answer:
it is not a function because the input 5 (x) has more than one output (y)
domain (5,-1,8)
range (2,6,-2,3)
Step-by-step explanation:
Answer:
y= -1/4x - 5
Step-by-step explanation:
first you need to find the slope.
to do this you can use the equation: change in y/change in x which is also y2 - y1/x2-x1
-8 - (-6)/12-4
-2/8
-1/4 = slope
since the line's equation is y = mx + b, we still need to find the y-intercept. we can do this by just plugging in one of the points
-6 = -1/4(4) + b
-6 = -1 + b
-5 = b
so the final equation is y= -1/4x - 5
Considering the slopes of the segments, the correct option is:
D. No, because the triangle ABC doesn't have a pair of perpendicular sides.
<h3>When are lines parallel, perpendicular or neither?</h3>
The slope, given by <u>change in y divided by change in x</u>, determines if the lines are parallel, perpendicular, or neither, as follows:
- If they are equal, the lines are parallel.
- If their multiplication is of -1, they are perpendicular.
- Otherwise, they are neither.
Here, we have to find if there are perpendicular segments, that is, if two slopes multiplied have a value of -1, then:
- mAB = (-7 - 9)/(11 - 1) = -8/5.
- mAC = (3 - 9)/(-9 - 1) = 3/5.
- mBC = (3 - (-7))/(-9 - 11) = -1/2.
No sides are perpendicular, hence option D is correct.
More can be learned about slopes at brainly.com/question/20847660
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