Questions: Find an equation in slope-intercept form for the line. Through (1,6), m=-6 The equation of the line is □ (Simplify your answer. Type your answer in slope-intercept form. Use integers or fractions for any numbers)

Find an equation in slope-intercept form for the line. Through (1,6), m=-6 The equation of the line is □ (Simplify your answer. Type your answer in slope-intercept form. Use integers or fractions for any numbers)
Transcript text: Find an equation in slope-intercept form for the line. Through $(1,6), m=-6$ The equation of the line is $\square$ (Simplify your answer. Type your answer in slope-intercept form. Use integers or fractions for any numbers
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Solution

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Solution Steps

Step 1: Use the slope-point formula to find the equation of the line

Given a point $(1, 6)$ and slope $m = -6$, we use the formula $y - y_1 = m(x - x_1)$.

Step 2: Solve for $y$ to get the equation in slope-intercept form

Rearranging the formula, we get $y = mx + b$, where $b = y_1 - mx_1 = 6 - (-6)(1) = 12$.

Final Answer: The equation of the line in slope-intercept form is $y = -6x + 12$.

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