Question

consider the equation \\((y-3)=2(x-6)\\).

convert the equation from point-slope form to slope-intercept form.

a.) \\(y=2x-15\\)

b.) \\(y=2x-9\\)

c.) \\(y=-\frac{2}{3}x+4\\)

d.) \\(y=-\frac{2}{3}x-4\\)

Explanation:

Distribute the slope on the right side

$$ y - 3 = 2(x - 6) \implies y - 3 = 2x - 12 $$

Isolate y to obtain slope-intercept form

$$ y = 2x - 12 + 3 \implies y = 2x - 9 $$

Answer:

• a.) \(y = 2x - 15\)
• b.) \(y = 2x - 9\) (Correct answer)
• c.) \(y = -\frac{2}{3}x + 4\)
• d.) \(y = -\frac{2}{3}x - 4\)