Problem

Find the point-slope form of the line with the given slope which passes through the Slope $=-\frac{1}{2} ;$ Line passes through the point $(4,9)$ Write an equation for the line in point-slope form. (Use integers or simplified fractions for any numbers in the equation.)

Solution

Step 1 :Given the slope \(m = -\frac{1}{2}\) and the point \((4,9)\) through which the line passes.

Step 2 :Substitute the given values into the point-slope form equation \(y - y_1 = m(x - x_1)\).

Step 3 :Substituting \(m = -\frac{1}{2}\), \(x_1 = 4\), and \(y_1 = 9\) into the point-slope form equation, we get:

Step 4 :\(y - 9 = -\frac{1}{2}(x - 4)\)

Step 5 :So, the point-slope form of the line is \(\boxed{y - 9 = -\frac{1}{2}(x - 4)}\).

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Source: https://solvelyapp.com/problems/fSC2K24Xtp/

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