Find the point-slope form of the equation of a line with a slope of 0.5 passing through the point (2,−3).*5 pointsy+3 = 0.5(x-2)y-3 = 0.5(x-2)y+3 = -0.5(x-2)y+3 = 0.5(x+2)

The correct equation in point-slope form is y + 3 = 0.5(x - 2). This equation represents a line with a slope of 0.5 that passes through the point (2, -3).

Here's how you get it:

1. The general point-slope form of the equation of a line is y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line.

2. In this case, the slope m is given as 0.5, and the point (x1, y1) is given as (2, -3).

3. Substituting these values into the point-slope form gives y - (-3) = 0.5(x - 2), which simplifies to y + 3 = 0.5(x - 2).

The other options you provided are incorrect because they do not correctly substitute the given point and slope into the point-slope form of the equation.