Passes through (1,4) and is parallel to y=-4x-5, Now write down the equation of the line.

Question

anonymous · Answer

@texaschic101

texaschic101 · Answer

first we need to find the slope of the equation given. The reason we need to do this is because a parallel line will have the same slope.
Can you tell me the slope of y = -4x - 5 ? Do you know how to find it ?

anonymous · Answer

well -4 is the slope i think and -5 is the y intercept if im not mistaken

texaschic101 · Answer

you are correct...the slope is -4 and the y intercept is -5.

Now we can use y = mx + b form
slope(m) = -4
now use your points..(1,4)...x = 1 and y = 4
now we sub and since we alredy know the slope will be -4, we need to find the y intercept (b).
y = mx + b
4 = -4(1) + b
4 = -4 + b
4 + 4 = b
8 = b

so your parallel equation is : y = -4x + 8
understand ? Any questions ?

anonymous · Answer

isn't b suppose to be -5?

anonymous · Answer

Oh wait, i DO get it throw in the point. Thanks :D

texaschic101 · Answer

that is your original line...a parallel line will contain the same slope but not the same y intercept. The y intercept in the original equation does not matter