What is the slope and y-intercept of the line x+2y=4?

Answer 1

Isaiah Anthony

The slope is equal to #-1/2#, or #-0.5#, and the #y#-int is equal to #2#.

We are aware of this because the equation

#y = mx + b#

form, you first move #x# to the right side by subtracting it from both sides

#2y = -x +4#

Next, you divide by two on both sides to finish off (to isolate #y#), so you get

#y= -.1/2x + 2#

And finally, since you have it in #y = mx + b# form already, (where #b# is the #y#-intercept) you get that slope (or #m#) is equal to #-1/2#.

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Answer 2

Nathan Axel

To find the slope and y-intercept of the line ( x + 2y = 4 ), rearrange the equation into slope-intercept form, which is ( y = mx + b ), where ( m ) is the slope and ( b ) is the y-intercept.

First, solve for ( y ):

[ x + 2y = 4 ]

[ 2y = -x + 4 ]

[ y = -\frac{1}{2}x + 2 ]

So, the slope ( m ) is -1/2 and the y-intercept ( b ) is 2.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.