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

Question

asked Mar 3, 2019 96.6k views

2 Answers

Monmonja · Answer 1 · 2019-03-07T14:16:50+0000

Answer:

y= -(2)/(3)x-11

Explanation:

Th equation of line is given by:

y = mx+b

where, m is the slope and b is the y-intercept.

As per the statement:

Given the point slope form equation:

y+7 = -(2)/(3)(x+6)

Using distributive property,
$a \cdot(b+c) = a\cdot b+ a\cdot c$

y+7 = -(2)/(3)x-4

subtract 7 from both sides we have;

y+7-7= -(2)/(3)x-4-7

Simplify:

y= -(2)/(3)x-11

Therefore, a linear function represents the line given by the point-slope equation is,