The equation of the line with the given slope is y = -3/4x + 5/2 .
Typically represented by the letter m, a line's slope in the plane including the x and y axes is calculated by dividing the difference in y coordinates between two distinct points on the line by the corresponding difference in x coordinate.
- Two lines must have equal slopes if and only if they are not coinciding (coincident); otherwise, they are both vertical and have ill-defined slopes.
- Two lines are perpendicular if their slopes total up to 1, or if one of them is level and the other has an unknown slope (a vertical line).
The equation of the line is given by
y-4 = -3/4x - 3/2
or, y = -3/4x -3/2 + 4
or, y = -3/4x + 5/2
Therefore the required equation of the line is y = -3/4x + 5/2 and the slope is -3/4 and y-intercept is 5/2.
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