The point-slope form of a linear equation is y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.
Using the given point (17, -7) and slope -1/2, the equation of the line in point-slope form is:
y - (-7) = (-1/2)(x - 17)
Simplifying the equation:
y + 7 = (-1/2)(x - 17)
y + 7 = (-1/2)x + 8.5
Subtracting 7 from both sides:
y = (-1/2)x + 8.5 - 7
y = (-1/2)x + 1.5
Therefore, the equation of the line passing through the point (17, -7) with a slope of -1/2 is y = (-1/2)x + 1.5.
Use point-slope form to write the equation of a line that passes through the point left bracket, 17, comma, minus, 7, right bracket(17,−7) with slope minus, one half−
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