Final answer:
To write an equation in slope-intercept form, use the formula y - y1 = m(x - x1) where (x1, y1) is the given point and m is the slope.
Step-by-step explanation:
To write an equation in slope-intercept form for a line passing through a given point and having a given slope, we can use the formula y - y1 = m(x - x1), where (x1, y1) is the given point and m is the given slope. In this case, the given point is (8, -1) and the given slope is 3. Substituting these values into the formula, we get y - (-1) = 3(x - 8), which simplifies to y + 1 = 3x - 24. Finally, rearranging the equation into the slope-intercept form y = mx + b, we have y = 3x - 25.
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