How do you find the slope and y intercept of #y=10/9 x+4#?

1 Answer
Jim G.
Sep 19, 2016

slope #=10/9#
y-intercept = +4

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 equation in this form is that m and b can be extracted 'easily'.

#y=10/9x+4" is in this form"#

By comparison with the standard equation above we obtain.

#"slope" =10/9" and y-intercept" =4#
graph{10/9x+4 [-10, 10, -5, 5]}

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