# What is the slope of 62=-42y+14x?

Jan 27, 2016

slope$= \frac{1}{3}$

#### Explanation:

y = mx + c , is the equation of a straight line , where m ,

represents the gradient (slope ) and c , the y-intercept.

By rearranging the given equation into this form then

m and c may be extracted.

hence: 42y = 14x -62 and $y = \frac{14}{42} x - \frac{62}{42}$

so $y = \frac{1}{3} x - \frac{31}{21}$

By comparison of the 2 equations

$m = \frac{1}{3} , c = - \frac{31}{21}$