Answer:
-1/2x + y - 8 = 0
Explanation:
To write the equation of a line in slope-intercept form, we need to know the slope of the line and the coordinates of a point on the line. We are given that the line has a slope of -1/2 and passes through the point (10, 8), so we can use the point-slope formula to write the equation of the line.
The point-slope formula for a line is:
y - y1 = m(x - x1)
where (x1, y1) is a point on the line, and m is the slope of the line. Substituting the given values into the formula, we get:
y - 8 = -1/2(x - 10)
Next, we can distribute the -1/2 to get:
y - 8 = -1/2x + 5
Finally, we can rearrange the terms to get the equation in standard form, Ax + By = C, where A, B, and C are integers:
-1/2x + y - 8 = 0
Thus, the equation of the line in Ax + By = C form is:
-1/2x + y - 8 = 0
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