Final answer:
The equation in slope-intercept form is y = (-1/4)x + 2.
Step-by-step explanation:
The equation in slope-intercept form can be written as y = mx + b, where m represents the slope and b represents the y-intercept. Given that the slope is -1/4, we can substitute this value into the equation as m. The equation becomes y = (-1/4)x + b. To find the value of b, we need to use the fact that the line crosses the x-axis at 8. When a point lies on the x-axis, the y-coordinate of that point is zero. So, by substituting x = 8 and y = 0 into the equation, we can solve for b. The equation now becomes 0 = (-1/4)(8) + b. Simplifying this equation, we get 0 = -2 + b. To isolate b, we add 2 to both sides, which results in b = 2. Therefore, the equation in slope-intercept form is y = (-1/4)x + 2.
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