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

1 Answer
Jul 5, 2016

Answer:

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#