Questions: Use the given conditions to write an equation for the line in point-slope form. Passing through (-2,3) and parallel to the line whose equation is y=1/2 x+1/6 Write an equation for the line in point-slope form. (Type your answer in point-slope form. Use integers or simplified fractions for any numbers in the equation.)

Use the given conditions to write an equation for the line in point-slope form. Passing through (-2,3) and parallel to the line whose equation is y=1/2 x+1/6 Write an equation for the line in point-slope form. (Type your answer in point-slope form. Use integers or simplified fractions for any numbers in the equation.)
Transcript text: Use the given conditions to write an equation for the line in point-slope form. Passing through $(-2,3)$ and parallel to the line whose equation is $y=\frac{1}{2} x+\frac{1}{6}$ Write an equation for the line in point-slope form. $\square$ (Type your answer in point-slope form. Use integers or simplified fractions for any numbers in the equat
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Solution

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Solution Steps

Step 1: Using the point-slope form equation
Given point \((-2, 3)\) and slope \(m = 0.5\),
the point-slope form is \(y - 3 = 0.5(x + 2)\).
Step 2: Converting to slope-intercept form
Solving for \(y\), we get \(y = 0.5x + 4\).

Final Answer:

The equation of the line in point-slope form is \(y - 3 = 0.5(x + 2)\), and in slope-intercept form is \(y = 0.5x + 4\).

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