Find the equation of the line through (-4,-1) and parallel to y = -1/2x +1 in slope- intercept form.
d) y = -1/2x - 3
c) y = 1/2x + 3
b) y = 2x - 3
a) y = -1/2x + 3

Step-by-step explanation:

Let the equation of the line be y = mx + c

since the line is parallel to y = -1/2x + 1, the two lines have the same gradient.

therefore, m = -1/2

sub (-4, -1):

-1 = -1/2(-4) + c

c = -3

therefore equation of the line is y = -1/2x - 3

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the polynomial is a perfect square trinomial of the form a^2-2ab+b^2:

option a. true

step-by-step explanation:

9x^2-12x+4

comparing with the form a^2-2ab+b^2

1.) a^2=9x^2

solving for a: square root both sides of the equation:

sqrt(a^2)=sqrt(9x^2)

a=sqrt(9) sqrt(x^2)

a=3x

2.) b^2=4

solving for b: square root both sides of the equation:

sqrt(b^2)=sqrt(4)

b=2

to be a perfet square trinomial 2ab must be equal to 12x. let's check:

2ab = 2 (3x) (2)

2ab = 12x

correct

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