Final answer:
The equation of the line through the point (-1, 2) with a slope of -3/4 is y = -3/4x + 5/2.
Step-by-step explanation:
To find the equation of a line with a given slope and passing through a given point, we can use the point-slope form of a linear equation which is y - y1 = m(x - x1), where (x1, y1) is the given point and m is the given slope.
In this case, the point is (-1, 2) and the slope is -3/4.
Substituting the values into the formula, we get y - 2 = -3/4(x - (-1)).
Simplifying the equation gives us y - 2 = -3/4x - 3/4.
Therefore, the correct equation is y = -3/4x + 5/2, which corresponds to option 1.