Question

How do you find the slope of 7x+2y=6?

Answer 1

`"slope "=-7/2`

Explanation:

The equation of a line in `color(blue)"slope-intercept form"` is.

`color(red)(bar(ul(|color(white)(2/2)color(black)(y=mx+b)color(white)(2/2)|)))`
where m represents the slope and b, the y-intercept.

`"Rearrange "7x+2y=6" into this form"`

subtract 7x from both sides of the equation.

`cancel(7x)cancel(-7x)+2y=6-7x=-7x+6`

`rArr2y=-7x+6`

divide ALL terms on both side by 2

`(cancel(2) y)/cancel(2)=(-7)/2x+6/2`

`rArry=-7/2x+3larr" in form y =mx +b"`

`rArr"slope "=m=-7/2`