Problem

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.)

Solution

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 :\(\boxed{y = \frac{1}{2}x - 5}\)

From Solvely APP
Source: https://solvelyapp.com/problems/15533/

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