How do you find the slope and intercept of #y=2/3x+4#?

1 Answer
Owen Bell
Jan 1, 2016

#"slope / gradient" = 2/3#

#"y-intercept" = 4#

Explanation:

The slope or gradient of a linear function is always given as the coefficient of #x# when the function of the line is expressed in the form #y = mx + c# (thus #m = "slope"#). The y-intercept is the value of #c#, which may or may not be #0# depending on the line function.

In this case, since the equation of the line is sufficiently prepared, one must simply compare the two to find the slope and intercept:

#y = mx + c#

#y = 2/3 x + 4#

#:.# #m = 2/3#

#:.# #c = 4#

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