Final answer:
The equation of the line through the given point (-3,3) and perpendicular to y=-5/3x-4 is y=3/5x-4.
Step-by-step explanation:
The equation of a line in slope-intercept form is given by y = mx + b, where m is the slope and b is the y-intercept. We are given that the line is perpendicular to y = -5/3x - 4. The slope of the given line is -5/3. The slope of a line perpendicular to it will be the negative reciprocal, which is 3/5.
The given point is (-3,3). We can substitute this point and the slope into the slope-intercept equation to find the equation of the line. Plugging in the values, we get y = 3/5x - 4.
Therefore, the correct equation of the line through the given point and perpendicular to y = -5/3x - 4 is y = 3/5x - 4.