QuestionJuly 15, 2025

Given the equation y=-3x-1 The z intercept is: square The y intercept is: square

Given the equation y=-3x-1 The z intercept is: square The y intercept is: square
Given the equation y=-3x-1
The z intercept is: square 
The y intercept is: square

Solution
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Answer

The x-intercept is: -\frac{1}{3}; The y-intercept is: -1 Explanation 1. Find the x-intercept Set y = 0 in the equation y = -3x - 1. Solve for x: \[ 0 = -3x - 1 \] \[ 3x = -1 \] \[ x = -\frac{1}{3} \] 2. Find the y-intercept Set x = 0 in the equation y = -3x - 1. Solve for y: \[ y = -3(0) - 1 \] \[ y = -1 \]

Explanation

1. Find the x-intercept<br /> Set $y = 0$ in the equation $y = -3x - 1$. Solve for $x$: <br />\[ 0 = -3x - 1 \]<br />\[ 3x = -1 \]<br />\[ x = -\frac{1}{3} \]<br /><br />2. Find the y-intercept<br /> Set $x = 0$ in the equation $y = -3x - 1$. Solve for $y$: <br />\[ y = -3(0) - 1 \]<br />\[ y = -1 \]
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