What is the slope of the line represented by the equation $y = \frac{2}{3} x - 4$ $y = 2/3 x - 4$ ?

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Answer 1 · 2015-06-22T21:13:05

The slope is $\frac{2}{3}$ $2/3$

The slope-intercept form of the equation of a line is:

$y = m x + c$ $y = mx + c$

where $m$ $m$ is the slope and $c$ $c$ is the intercept, that is the $y$ $y$ coordinate of the intersection of the line with the $y$ $y$ axis.

In your example, the equation is (almost) in slope-intercept form. Strictly speaking it should look like this:

$y = \frac{2}{3} x + - 4$ $y = 2/3x + -4$

Comparing with the standard slope-intercept form, we can see that the slope is $\frac{2}{3}$ $2/3$ and the intercept $- 4$ $-4$ .

What is the slope of the line represented by the equation y = 2/3 x - 4y=23x−4y = 2/3 x - 4?