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.)

Answer

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Answer

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

Steps

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 $\boxed{y - 9 = -\frac{1}{2}(x - 4)}$.