Question

How do you find the slope and intercept of `7y=x-10`?

Answer 1

slope `=1/7 , "y-intercept"=-10/7`

Explanation:

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

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

The advantage to having the line in this form is that m and b may be extracted 'easily'.

The equation 7y = x - 10 is almost in that form. Dividing both sides by 7 will complete the equation in slope-intercept form.

`rArr(cancel(7)^1 y)/cancel(7)^1=1/7x-10/7rArry=1/7x-10/7`

`rArr" slope" =1/7" and y-intercept" =-10/7`