Select from the drop-down menus to correctly complete each statement. −25 is 25 units to the of zero on a number line. The oppos
ite of −25 is 25 units to the of zero on a number line.
1 answer:
Answer:
−25 is 25 units to the left of zero on a number line and
The opposite of −25 is 25 units to the right of zero on a number line.
Step-by-step explanation:
- a line on which we have numbers from negative infinity till positive infinity is a number line.
- so, it will obviously have 0 in the middle.
- in the left we will have negative numbers and on the right of 0 we will have positive numbers.
- the magnitude of the numbers will be increasing from 0 on both the sides.
- see the uploaded image in the attachment for better understanding.
- so, by seeing the image in attachment, we can say that,
−25 is 25 units to the left of zero on a number line and
The opposite of −25 is 25 units to the right of zero on a number line.
here, opposite of -25 refers to +25, which will be 25 units to the right of zero on a number line.
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The slope of the given line is the coefficient of x, 3/5. The slope of the perpendicular line is the negative reciprocal of that:
... m = -1/(3/5) = -5/3
The point-slope form of the equation of a line can be written as
... y = m(x -h) +k . . . . .for slope m and point (h, k)
Using the values we are given for the perpendicular line, its equation is
... y = (-5/3)(x -15) -5
Simplifying gives
... y = (-5/3)x +20
The y-intercept of the perpendicular line is 20.
