Write the equation of the line which passes through $(2,-4)$ and $(4,-3)$. Write the answer in slope-intercept form.
The equation of the line is
(Simplify your answer. Type your answer in slope-intercept form. Use integers or fractions for any numbers in the equation.)

Answer

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Answer

$\boxed{y = \frac{1}{2}x - 5}$

Steps

Step 1 ：Find the slope (m) using the slope formula: m = $\frac{y2 - y1}{x2 - x1}$

Step 2 ：m = $\frac{-3 - (-4)}{4 - 2}$ = $\frac{1}{2}$

Step 3 ：Use the point-slope form to find the equation of the line: y - y1 = m(x - x1)

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

Step 5 ：y + 4 = $\frac{1}{2}$x - 1

Step 6 ：y = $\frac{1}{2}$x - 5

Step 7 ：$\boxed{y = \frac{1}{2}x - 5}$