The table below represents the equation: y = 1.5x – 2 If you completed this table, would each input have exactly one output? yes
or no
2 answers:
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Answer:
Part a) The slope is
Part b) The equation in point slope form is
Part c) The equation in slope-intercept form is
Step-by-step explanation:
we have the points (3,4) and (-3,6)
Part a) What is the slope of the line?
The formula to calculate the slope between two points is equal to
substitute the given points
Part b) Write the equation of the line in point-slope form
we have
substitute
---> equation in point slope form
Part c) Write the equation of the line in slope-intercept form
we have
Isolate the variable y
distribute right side
Adds 4 both sides
---> equation in slope intercept form
The two-way table is attached.
We know that 63 people took the survey, and 22 of them were left-handed. This means that 63-22=41 of them are right handed.
Out of the 63 total, 37 are left brain dominant; this means that 63-37=26 are right brain dominant.
Of the 26 that are right brain dominant, 21 are right handed; this means 26-21=5 are left handed.
Of the 22 left-handed people, 5 are right brain dominant; this means 22-5 = 17 are left brain dominant.
Of the 37 left brain dominant people, 17 are left handed; this means 37-17=20 are right handed.
We know that 63 people took the survey, and 22 of them were left-handed. This means that 63-22=41 of them are right handed.
Out of the 63 total, 37 are left brain dominant; this means that 63-37=26 are right brain dominant.
Of the 26 that are right brain dominant, 21 are right handed; this means 26-21=5 are left handed.
Of the 22 left-handed people, 5 are right brain dominant; this means 22-5 = 17 are left brain dominant.
Of the 37 left brain dominant people, 17 are left handed; this means 37-17=20 are right handed.
Point (-2 , 4) lies in the 2nd quadrant
Point (3 , -1) lies in the 4th quadrant
Point (-1 , 0) lies on the negative part of the x-axis
Point (1 , 2) lies in the 1st quadrant
Point (-3 , -5) lies in the 3rd quadrant
Step-by-step explanation:
Let us revise the signs of the coordinates in each quadrant
- x and y coordinates are positive in the 1st quadrant
- x-coordinate is negative and y-coordinate is positive in the 2nd quadrant
- x and y coordinates are negative in the 3rd quadrant
- x-coordinate is positive and y-coordinate is negative in the 4th quadrant
- The general point on the positive part of x-axis is (x , 0), and on the negative part of x-axis is (-x , 0)
- The general point on the positive part of y-axis is (0 , y), and on the negative part of y-axis is (0 , -y)
Now let us check the points
Point (-2 , 4) ⇒ red point
∵ x = -2 and y = 4
∵ x-coordinate is negative and y-coordinate is positive
∴ Point (-2 , 4) lies in the 2nd quadrant
Point (3 , -1) ⇒ blue point
∵ x = 3 and y = -1
∵ x-coordinate is positive and y-coordinate is negative
∴ Point (3 , -1) lies in the 4th quadrant
Point (-1 , 0) ⇒ green point
∵ x = -1 and y = 0
∵ x-coordinate is negative and y-coordinate is zero
∴ Point (-1 , 0) lies on the negative part of the x-axis
Point (1 , 2) ⇒ purple point
∵ x = 1 and y =2
∵ x and y coordinates are positive
∴ Point (1 , 2) lies in the 1st quadrant
Point (-3 , -5) ⇒ black point
∵ x = -3 and y = -5
∵ x and y coordinates are negative
∴ Point (-3 , -5) lies in the 3rd quadrant
<em>Look to the attached graph for more understand</em>
Learn more:
You can learn more about the four quadrant in brainly.com/question/9381523
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