4. A Geometric Proof (4 points total) Here is another interesting proof. The smaller white square is inside a larger square. Eac
h blue area is a right triangle. To find the area of the white square, you can find the area of the big square and subtract the areas of the right triangles. b a 1 b b Area of big square = (a + b) Area of 4 triangles = 4 4 tab b Area of white square = big square - 4 shaded triangles a. Use these areas to write an equation for the area of the white square. Simplify the equation if possible. (2 points)
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Hi there!
We can create an equation for the line PR using the given coordinates. Use the following formula for the slope:
Plug in the coordinates for P and R:
Find the equation by using point-slope form:
y - y1 = m(x - x1)
Plug in a coordinate and the slope:
y - (-5) = -4/3(x - ( - 1))
Simplify:
y + 5 = -4/3(x + 1)
To find the y-coordinate if x = 2, plug in the x value:
y + 5 = -4/3(2 + 1)
y + 5 = -4/3(3)
y + 5 = -4
y = -9
Thus, the coordinate is (2, -9)
