9514 1404 393
Answer:
y -3 = -1/2(x +10)
Explanation:
Given a point and a slope, it is reasonable to use the point-slope form of the equation for a line.
y -k = m(x -h) . . . . . . . . line with slope m through point (h, k)
Your line has slope m = -1/2 through point (h, k) = (-10, 3). Putting these values into the appropriate form your equation is ...
y -3 = -1/2(x +10) . . . . point-slope form equation
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y = -1/2x -5 +3 . . . . eliminate parentheses, add 3
y = -1/2x -2 . . . . . . . . . slope-intercept form equation