The slope-intercept form of a linear equation is given by:
y = mx + b
where m is the slope and b is the y-intercept.
To write the slope-intercept equation from the given information, we need to determine the slope and y-intercept from each of the given equations.
For the equation y = -3x + 2, the slope is -3 and the y-intercept is 2.
For the equation y = -2x - 3, the slope is -2 and the y-intercept is -3.
For the equation y = -3x - 2, the slope is -3 and the y-intercept is -2.
For the equation y = -2x + 3, the slope is -2 and the y-intercept is 3.
Therefore, the equation that has a slope of -2 and a y-intercept of 3 is y = -2x + 3. So, the answer is:
y = -2x + 3