Questions: Write the equation of the line which passes through (6,-6) and (8,-3). Write the answer in slope-intercept form. The equation of the line is □ (Simplify your answer. Type your answer in slope-intercept form. Use integers or fractions for any numbers in the equation.)

Write the equation of the line which passes through (6,-6) and (8,-3). Write the answer in slope-intercept form. The equation of the line is □ (Simplify your answer. Type your answer in slope-intercept form. Use integers or fractions for any numbers in the equation.)
Transcript text: Write the equation of the line which passes through $(6,-6)$ and $(8,-3)$. Write the answer in slope-intercept form. The equation of the line is $\square$ (Simplify your answer. Type your answer in slope-intercept form. Use integers or fractions for any numbers in the equation.)
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Solution

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Solution Steps

Step 1: Calculate the slope of the line

The slope \(m\) is calculated using the formula \(m = \frac{y_2 - y_1}{x_2 - x_1}\), which gives \(m = \frac{-3 + 6}{8 - 6} = 1.5\).

Step 2: Use the slope-point form to find the y-intercept

Substituting \(x = 6\) and \(y = -6\) into the slope-point form \(y - y_1 = m(x - x_1)\), we solve for \(b\) to get \(b = -15\).

Final Answer: The slope-intercept form of the line is \(y = 1.50x - 15\).

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