The equation of the line in point-slope form with a slope of ½ that passes through (-8, 3) is y - 3 = ½(x + 8).
The equation of a line in point-slope form is y − y1 = m(x − x1), where m represents the slope and (x1, y1) is the point through which the line passes. Given a slope of ½ and a point (−8, 3), the equation is y − 3 = ½(x + 8). This illustrates that once the slope and a single point on the line are known, the equation of the line can be determined.
In point-slope form, you substitute the given slope and point coordinates directly into the equation. Here's the step-by-step breakdown: Start with the point-slope formula, substitute in the slope (m = ½) and the coordinates of the point (x1 = −8 and y1 = 3), and simplify.