Final answer:
The point-slope form of the equation for a line with a slope of -3 and a y-intercept of -3 is y + 3 = -3x.
Step-by-step explanation:
To find the equation of a line in point-slope form, you typically need a point on the line and the slope of the line. However, if you have the slope and the y-intercept, you can still write the equation in point-slope form because the y-intercept provides a point on the line, which is (0, y-intercept).
In this case, the slope (m) is -3, and the y-intercept is -3, which gives us the point (0, -3). The point-slope form of the equation of a line is written as:
y - y1 = m(x - x1)
Plugging in our values:
y - (-3) = -3(x - 0)
Which simplifies to:
y + 3 = -3x
This is the equation of the line with slope -3 and y-intercept -3 in point-slope form.