MATH SOLVE

2 months ago

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

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