Final answer:
The equation of a line in slope-intercept form that passes through the points (-7, 8) and (5,-4) is y = -x + 1.
Step-by-step explanation:
The first step is to find the slope of the line (m) using the formula (y2 - y1) / (x2 - x1). Here, we can take (x1, y1) as (-7, 8) and (x2, y2) as (5,-4). So, m = (-4 - 8) / (5 - (-7)) = -12 / 12 = -1.
Next, we use the slope-intercept form equation y = mx + b. We know m and a point from the line, we can substitute it into the equation to solve for b. Using (-7, 8), we get 8 = -1 * -7 + b, hence b = 1. So, the equation of the line in slope-intercept form is y = -x + 1.
Learn more about Slope-Intercept Form