Write an equation in slope-intercept form for the line with slope \( -\frac{1}{2} \) and \( y \)-intercept -5 . \( \square \square \square \square \square \frac{\square}{\square} \)
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The equation in slope-intercept form is \( y = -\frac{1}{2}x - 5 \). This means for every 2 units you move to the right (in the positive direction) on the x-axis, the line goes down (in the negative direction) by 1 unit, creating that gentle downward slope. If you want to visualize this, think about plotting it! Start at the y-intercept at (0, -5) on the y-axis, then use the slope to find other points. Moving right 2 units to x = 2, you'd go down 1 unit to y = -6, landing you at (2, -6). You can keep plotting for more points to see the line take shape!
