Question 25
2 answers:
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A table can be represented with a linear function equation as y = mx + b, where m is the slope and b is the y-intercept.
<h3>How to Represent a Table with Linear Function?</h3>Assuming we have a table of values as shown in the image attached below, to write an equation of linear function for the table, do the following:
Pick two pairs of values, say, (1, 5) and (2, 25) and find the slope (m):
Slope (m) = change in y / change in x = (25 - 5)/(2 - 1)
Slope (m) = 20
Find the y-intercept (b) by substituting (x, y) = (1, 5) and m = 20 into y = mx + b:
5 = 20(1) + b
5 = 20 + b
5 - 20 = b
-15 = b
b = -15
Write the equation of the linear function by substituting m = 20 and b = -15 into y = mx + b:
y = 20x - 15
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Two transformations that can be used to show that polygon ABCDE is congruent to polygon GFJIH : <u>rotation -90° and translation (0,2)</u>
<h3>Further explanation</h3>There are several forms of transformation, including translation, dilation, rotation or reflection
There are 2 shapes of geometry:
Similar figures:
the same shape but different in size,
Congruent figures:
the same size and the same shape
Both polygons will appear congruent if, after being transformed, the two polygons will map exactly to each other
A sequence of two transformations e can do is :
1. rotation -90°
Let point H(4,1) from polygon GFJIH , we rotate -90°
2. translation (0,2)
Keywords: transformation, translation, rotation
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