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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

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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

This question demands knowledge on coordinate geometry's slope intercept form and finding unknowns. If you would like to venture further, you can check out my Instagram page (learntionary). Thanks!

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