write the slope-intercept form equation of the line with slope -3 that passes through the point (0,0). Enter any non-integer coefficient as a fraction

(y-0) = -3(x-0)

or

y = -3x

To find the slope-intercept form equation of a line, we need two pieces of information: the slope of the line and a point that the line passes through.

Given that the slope of the line is -3 and the line passes through the point (0, 0), we can find the equation using the following form:

y = mx + b

where:
- m represents the slope of the line
- (x, y) represents the coordinates of a point on the line
- b represents the y-intercept (where the line intersects the y-axis)

Since we are given that the line passes through the point (0, 0), we can substitute these values into the equation:

y = -3x + b

To find the value of b, we substitute the x and y coordinates of the point (0, 0) into the equation:

0 = -3(0) + b

Simplifying further, we get:

0 = 0 + b
b = 0

Therefore, the equation of the line in slope-intercept form is:

y = -3x + 0

But we can simplify the equation by removing the "+ 0" term:

y = -3x

Hence, the slope-intercept form equation of the line with slope -3 that passes through the point (0, 0) is y = -3x.