Final answer:
To write an equation in slope-intercept form using two points, find the slope using the formula m = (y2 - y1)/(x2 - x1), then substitute the slope and the coordinates of one point into the formula y - y1 = m(x - x1) to find the equation. The equation of the line in this case is y = -1/2x - 1.
Step-by-step explanation:
To write an equation in slope-intercept form using two points, we can use the formula: y - y1 = m(x - x1), where (x1, y1) are the coordinates of one point and m is the slope. First, find the slope using the formula: m = (y2 - y1)/(x2 - x1). Then, substitute the slope and the coordinates of one point into the formula to find the equation. Given the points (-6, 4) and (-2, 2), the slope is: m = (2 - 4)/(-2 - (-6)) = -2/4 = -1/2. Using the point (-6, 4), we substitute the values into the formula: y - 4 = -1/2(x - (-6)). Simplifying, we get: y - 4 = -1/2(x + 6). To get the equation in slope-intercept form, solve for y: y = -1/2x - 1. Therefore, the equation of the line in slope-intercept form is y = -1/2x - 1.
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