Answer:

Step-by-step explanation:
General slope intercept form equation of straight line is given as

where m is slope and b is y-intercept
here m=24 and b=-5
Therefore

Step-by-step explanation:
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<em><u>or</u></em><em><u>,</u></em><em><u>x</u></em><em><u><</u></em><em><u>12</u></em><em><u>÷</u></em><em><u>5</u></em>
<em><u>o</u></em><em><u>r</u></em><em><u>,</u></em><em><u>x</u></em><em><u><</u></em><em><u>1</u></em><em><u>2</u></em><em><u>/</u></em><em><u>5</u></em>
<em><u>or</u></em><em><u>,</u></em><em><u>x</u></em><em><u><</u></em><em><u>2</u></em><em><u>.</u></em><em><u>4</u></em>
<em><u>:</u></em><em><u>.</u></em><em><u>x</u></em><em><u><</u></em><em><u>2</u></em><em><u>.</u></em><em><u>4</u></em>
30mm is the missing angel
Given:
The point is (-12,-8).
Rule of transformation is
.
To find:
The coordinates of image after transformation.
Solution:
According to the rule of transformation
, first the point is dilated by factor
with origin as center of dilation after that it was rotated 270 degrees anticlockwise.
If a point is dilated by factor
with origin as center of dilation, then
If a point is rotated 270 degrees anticlockwise, then



Therefore, the coordinates of image after transformation are (-2,3).