Final answer:
The equation of the line with a slope of 0.5 that passes through the point (1, -3) is y = 0.5x - 3.5.
Step-by-step explanation:
To find the equation of a line with a slope of 0.5 that passes through the point (1, -3), we need to use the point-slope form of a linear equation, which is expressed as y - y1 = m(x - x1), where m is the slope and (x1, y1) are the coordinates of the given point. Substituting the given slope and point into the point-slope formula, we get: y - (-3) = 0.5(x - 1). Simplify and put the equation into slope-intercept form, y = mx + b, to get: y = 0.5x - 0.5 - 3, y = 0.5x - 3.5. Therefore, the equation of the line with a slope of 0.5 that passes through the point (1, -3) is y = 0.5x - 3.5.