Answer:
<u>y = -2x + 7</u>
Explanation:
<em><u>y = mx + b</u></em>
<em><u /></em>
<em>m = slope</em>
<em>b = y-intercept</em>
<em>y = a given y coordinate</em>
<em>x = a corresponding x coordinate</em>
<em />
First, we need to find the slope (m).
1) (4, -1)
2) (2/3)
m = slope = =
=
= -2
plug in the values to the equation <u>y = mx + b</u>
<u />
-1 = -2(4) + b
-1 = -8 + b
7 = b
now, we can substitute in m and b into the equation y = mx + b
<u><em>y = -2x + 7</em></u>
The coordinates of the image of point B after the triangle is rotated 270° about the origin is (4, 2)
<h3>How to determine the image of point B?</h3>The complete question is added as an attachment
From the attached image, we have the following coordinate
B = (-2, 4)
When the triangle is rotated by 270 degrees, the rule of rotation is:
(x, y) ⇒ (y, -x)
For point B, we have:
B' = (4, 2)
Hence, the coordinates of the image of point B after the triangle is rotated 270° about the origin is (4, 2)
Read more about rotation at:
#SPJ1
