Write an equation for the line that is parallel to the given line and passes through the given point Y= 1/2 x -8 (-6 ,-17)
1 answer:
Parallel to : y = 1/2x - 8
Passes through (-6, -17)
Our given slope is 1/2.
Plug the given coordinates into point-slope form.
y - y₁ = m(x - x₁)
y - (-17) = 1/2(x - (-6))
Simplify.
y + 17 = 1/2(x + 6) ← Your answer.
However, sometimes teachers want this simplified even further.
So, simplify this.
y + 17 = 1/2x + 3
Subtract 17 from both sides.
y = 1/2x + 3 - 17
Simplify.
y = 1/2x - 14 ← Slope-intercept form.
Standard form → -1/2x + y = -14
~Hope this helped!~
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