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

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Answer 1 · 2018-05-17T14:16:21

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

We know this because when we put the equation into

$y = mx + b$

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 $-1/2$ .