Q:

here Choose the point-slope form of the equation below that represents the line that passes through the points (−6, 4) and (2, 0).y − 4 = −one half(x + 6)y − 4 = 2(x + 6)y + 6 = −one half(x − 4)y + 6 = 2(x − 4)Question 2 (Multiple Choice Worth 2 points)Given the equation y − 3 = one half(x + 6) in point-slope form, identify the equation of the same line in standard form.x − 2y = −12y = one halfxy = one halfx + 6y = one halfx + 9Question 3 (Multiple Choice Worth 2 points)Given the equation y − 4 = three fourths(x + 8) in point-slope form, identif

Accepted Solution

A:
The answers are the following:
1. y − 4 = −one half(x + 6)
Solution:
the point is 4
y=4
y-4=0
the slope is,
y2-y1 / x2-x1
0-4/ 2-(-6)
-4/8 or -1/2

2. The answer is y = one half x + 6
 y − 3 = one half(x + 6)
y-3= one halfx+3
y=one halfx+3 +3
y = one half x + 6

3. The solution for y − 4 = three fourths(x + 8) is,
y-4 = 3/4x + 3/4(8)
y-4 = 3/4x +6
y-4-6=3/4x
y-10=3/4x
-3/4+ y =10
further solution for its standard form is 
(4)y-3/4x =10(4)
y-3x=40
y-3x-40 = 0
but from the choices, the answer is
−three fourthsx + y = 10