Answer:
Step-by-step explanation:
The equation of a straight line can be represented in the slope intercept form as
y = mx + c
Where
m = slope = (change in the value of y in the y axis) / (change in the value of x in the x axis)
The equation of the given line is
x + 2y = 4
2y = - x + 4
y = -x/2 + 4/2
y = - x/2 + 2
Comparing with the slope intercept form, slope = - 1/2
If two lines are perpendicular, it means that the slope of one line is the negative reciprocal of the slope of the given line.
Therefore, the slope of the line passing through (- 2, 1) is 2
To determine the intercept, we would substitute m = 2, x = - 2 and y = 1 into y = mx + c. It becomes
1 = 2 × - 2 + c = - 4 + c
c = 1 + 4 = 5
The equation becomes
y = 2x + 5
Answer:
Aight.
Rational, Real, Integer, Negative
When a shape is rotated, it must be rotated around a point.
<em>See attachment for the image of each rotation.</em>
To do this, the top coordinates of the X shape will be transformed using the appropriate rotation rule; the same rule will then be applied to the other parts of the X shape.
The top coordinates of the X shape are:




For 90 degrees counterclockwise rotation, the rule is:

So, we have:




For 180 degrees rotation, the rule is:

So, we have:




For 270 degrees counter rotation, the rule is:

So, we have:




See attachment for the image of each rotation
Read more about rotations at:
brainly.com/question/1571997
Answer:
Step-by-step explanation:
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