Answer:
The equation in point-slope form can be written as follows: y-y1=m(x-x1) where (x1, y1) represents the given point and m represents the slope. In this case, the given point is (3, -1) and the slope is -2. Substituting these values into the equation, we obtain: y - (-1)=-2(x-3) Simplifying the equation: y + 1 = -2x + 6 Finally, we can rearrange the equation to put it in slope-intercept form (y = mx + b), where b represents the y-intercept: y=-2x + 5 Therefore, the equation in point-slope form that passes through (3,-1) with a slope of -2 is y = -2x+5.