Question

emelina wrote the equation of a line in point-slope form as shown below.

\\((y+4) = 3(x+2)\\)

what is emelinas equation in slope-intercept form?

\\(y = 3x + 2\\)
\\(y = 3x + 10\\)
\\(y = 3x - 4\\)
\\(y = 3x - 10\\)

Explanation:

Identify the given equation

Using the Point-Slope Form knowledge point

$$ (y + 4) = 3(x + 2) $$

Distribute the slope on the right side

Using the Slope-Intercept Form knowledge point

$$ y + 4 = 3x + 6 $$

Isolate the variable y

Using the Slope-Intercept Form knowledge point

$$ y = 3x + 6 - 4 $$

$$ y = 3x + 2 $$

Answer:

• (A) \(y = 3x + 2\) (Correct answer)
• (B) \(y = 3x + 10\)
• (C) \(y = 3x - 4\)
• (D) \(y = 3x - 10\)