Graph the image using the given transformation
1 answer:
1) First find the coordinates of the shape:
G(-1, -2), F(-1, -1), E(2,2), D(2, -2)
2)It asked for dilation of 2 about the origin.
<u><em>*What is dilation?</em></u>
<em>Dilation is the expanding/enlarging a transformation by a scale factor</em>
Now we multiply all the coordinates with the factor of 2
G(-1*2, -2*2) = G'(-2, -4)
F(-1*2, -1*2) = F'(-2, -2)
E(2*2, 2*2) = E'(4, 4)
D(2*2, -2*2) = D'(4, -4)
3) Now plot these points and graph the transformation:
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Answer:
y = - x -
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange 5x + 9y + 18 = 0 into slope- intercept form
Subtract 5x + 18 from both sides
9y = - 5x - 18 ( divide all terms by 9 )
y = - x - 2 ← in slope- intercept form
with m = -
Parallel lines have equal slopes, thus
y = - x + c ← is the partial equation
To find c substitute (- 5, - 7) into the partial equation
- 7 = + c ⇒ c = - 7 -
= -
y = - x -
← equation of line