Pergunta

ind the y-intercept of each line defined below and compare their values. Equation of Line A: y-1=-(1)/(2)(x+8)
Solução

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Karla MariaAvançado · Tutor por 1 anos
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To find the y-intercept of Line A, we need to rewrite the equation in slope-intercept form, which is $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept.<br /><br />Given equation: $y-1=-\frac{1}{2}(x+8)$<br /><br />Step 1: Distribute the slope $-\frac{1}{2}$ to the terms inside the parentheses:<br />$y-1=-\frac{1}{2}x-4$<br /><br />Step 2: Add 1 to both sides to isolate $y$:<br />$y=-\frac{1}{2}x-3$<br /><br />Now, the equation is in slope-intercept form, and we can see that the y-intercept of Line A is $-3$.<br /><br />Therefore, the y-intercept of Line A is $-3$.
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