To write the equation of a line, you can use the slope-intercept form of a linear equation, which is y = mx + b, where m is the slope of the line and b is the y-intercept (the point where the line crosses the y-axis).
In this case, the slope of the line is -1/4 and the line passes through the point (-2,3), so we can substitute these values into the slope-intercept form to get:
y = (-1/4)x + b
To find the value of b, we can substitute the coordinates of the point (-2,3) into the equation and solve for b:
3 = (-1/4)(-2) + b
3 = 1/2 + b
3 - 1/2 = b
(6 - 1)/2 = b
5/2 = b
So the equation of the line is:
y = (-1/4)x + (5/2)
This equation can be simplified to:
y = -1/4x + 5/2
This is the equation of the line with the given information.