1.83 x 10^8 this is in scientific notation.
Let y = the distance between the top left corner and the bottom right corner
y^2 = 24^2 + 15^2
y^2 = 801
y = 3 * sqrt(89)
Now we can find x.
12^2 + x^2 = (3 * sqrt(89))^2
x^2 = 657
x = 3 * sqrt(73) or 25.63
The point-slope form:
![y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=y-y_1%3Dm%28x-x_1%29%5C%5C%5C%5Cm%3D%5Cdfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
We have the points (5, -3) and (-2, 9). Substitute:
![m=\dfrac{9-(-3)}{-2-5}=\dfrac{12}{-7}=-\dfrac{12}{7}\\\\y-(-3)=-\dfrac{12}{7}(x-5)\\\\\boxed{y+3=-\dfrac{12}{7}(x-5)}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7B9-%28-3%29%7D%7B-2-5%7D%3D%5Cdfrac%7B12%7D%7B-7%7D%3D-%5Cdfrac%7B12%7D%7B7%7D%5C%5C%5C%5Cy-%28-3%29%3D-%5Cdfrac%7B12%7D%7B7%7D%28x-5%29%5C%5C%5C%5C%5Cboxed%7By%2B3%3D-%5Cdfrac%7B12%7D%7B7%7D%28x-5%29%7D)