The equation of the line in slope-intercept form is y = -5/3 * x.
To find the equation of the line in slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept, we need to determine the slope and the y-intercept using the given coordinates (0, 0), (-3, 5), and (5, -5).
Firstly, calculate the slope (m) using the formula:
m = (y2 - y1) / (x2 - x1)
Choosing the points (0, 0) and (-3, 5):
m = (5 - 0) / (-3 - 0) = -5/3
Now that we have the slope (m), we can use it in the slope-intercept form (y = mx + b) and substitute the coordinates of a point (let's use (0, 0)) to solve for the y-intercept (b):
0 = -5/3 * 0 + b
b = 0
Therefore, the equation of the line is:
y = -5/3 * x