Question

the equation \\(y - 5 = 6(x + 1)\\) is written in point-slope form. what is the equation written in slope-intercept form?

\\(y = 6x + 11\\)
\\(y = 6x - 1\\)
\\(y = 6x - 4\\)
\\(y = 6x + 6\\)

Explanation:

Identify the given equation and target form

Using the Point-Slope Form knowledge point

$$ y - 5 = 6(x + 1) $$

Distribute the slope on the right side

Using the Slope-Intercept Form knowledge point

$$ y - 5 = 6x + 6 $$

Isolate y to find the final equation

Using the Slope-Intercept Form knowledge point

$$ y = 6x + 11 $$

Answer:

• (A) \(y = 6x + 11\) (Correct answer)
• (B) \(y = 6x - 1\)
• (C) \(y = 6x - 4\)
• (D) \(y = 6x + 6\)