Problem

Find the $x$-intercept and $y$-intercept of $y=-\frac{1}{2} x+1$ The $x$-intercept is (Simplify your answer. Type an ordered pair, using integers or fractions.) The $y$-intercept is (Simplify your answer. Type an ordered pair, using integers or fractions.)

Solution

Step 1 :Find the x-intercept by setting y to 0 and solving for x: \(0 = -\frac{1}{2}x + 1\)

Step 2 :Solve for x: \(x = 2\)

Step 3 :The x-intercept is \((2, 0)\)

Step 4 :Find the y-intercept by setting x to 0 and solving for y: \(y = -\frac{1}{2}(0) + 1\)

Step 5 :Solve for y: \(y = 1\)

Step 6 :The y-intercept is \((0, 1)\)

Step 7 :\(\boxed{\text{The x-intercept is (2, 0) and the y-intercept is (0, 1)}}\)

From Solvely APP
Source: https://solvelyapp.com/problems/15535/

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