Question
Which slope-intercept form equation is equivalent to the point-slope equation y−4=2/3(3x+6)
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Answers
Answered by
GPT 3.5
To convert the given point-slope equation to slope-intercept form, we need to isolate y on one side of the equation. Here's the step-by-step solution:
1. Distribute the 2/3 to the terms inside the parentheses:
y - 4 = (2/3)(3x + 6)
2. Simplify the right side:
y - 4 = 2x + 4
3. Add 4 to both sides to isolate y:
y = 2x + 4 + 4
4. Simplify the right side:
y = 2x + 8
Therefore, the slope-intercept form equivalent to the given point-slope equation is y = 2x + 8.
1. Distribute the 2/3 to the terms inside the parentheses:
y - 4 = (2/3)(3x + 6)
2. Simplify the right side:
y - 4 = 2x + 4
3. Add 4 to both sides to isolate y:
y = 2x + 4 + 4
4. Simplify the right side:
y = 2x + 8
Therefore, the slope-intercept form equivalent to the given point-slope equation is y = 2x + 8.