Question

Which linear function represents the line given by the point-slope equation y + 7 = –2/3(x + 6)?

Answer 1

Answer:

The answer is B on edge

Step-by-step explanation:

Answer 2

Answer:

First option: $f(x)=-\frac{2}{3}x-11$

Step-by-step explanation:

Given the point-slope equation $y+7=-\frac{2}{3}(x+6)$, you need to solve for $y$, because you are looking for the equation of the line in slope-intercept form:

$y=mx+b$

Being $m$ the slope of that line, and $b$ the intersection of the line with the y-axis.

Then:

Apply Distributive property:

$y+7=-\frac{2}{3}x-4$

Subtract 7 from both sides:

$y+7-(7)=-\frac{2}{3}x-4-(7)\\y=-\frac{2}{3}x-11$

Rewrite the equation:

$f(x)=-\frac{2}{3}x-11$ (The linear function of the First option)