What is the equation of the line, in standard form, that passes through (4, -3) and is parallel to the line whose equation is 4x + y - 2 = 0?

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(1) Answers

latinaberryhill

4x + y - 2 = 0
y = -4x + 2....slope here is -4. A parallel line will have the same slope.
y = mx + b
slope(m) = -4
(4,-3)...x = 4 and y = -3
now we sub and find b, the y int
-3 = -4(4) + b
-3 = -16 + b
-3 + 16 = b
13 = b
so ur parallel equation is : y = -4x + 13
but we need it in standard form
y = -4x + 13....add 4x to both sides
4x + y = 13 <== standard form