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\( y = -3x - 5 \)
Solución
Solve the equation \( y-1=-3(x+2) \).
Solve the equation by following steps:
- step0: Solve for \(y\):
\(y-1=-3\left(x+2\right)\)
- step1: Rewrite the expression:
\(y-1=-3x-6\)
- step2: Move the constant to the right side:
\(y=-3x-6+1\)
- step3: Add the numbers:
\(y=-3x-5\)
The solution to the equation \(y-1=-3(x+2)\) is \(y=-3x-5\).
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Simplifique esta solución Bonus Knowledge
This equation represents a linear function in point-slope form, which is useful for quickly identifying the slope and a specific point on the line. Here, the slope is -3, indicating the line descends as you move from left to right, and the point (−2, 1) is on the line. This makes it easy to visualize the line by plotting this specific point and using the slope to find additional points! To solve this equation for \( y \), simply rearranging gives you the slope-intercept form \( y = -3x - 5 \). This clarity allows you to see how the line crosses the y-axis at -5, so you can also graph it easily!
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