How do you find the intercepts for #y= - 6/5x + 6#?

1 Answer
Jun 13, 2015

Answer:

The #y# intercept is 6, and the #x# intercept is 5.

Explanation:

The intercepts of a graph are the points where the graph crosses the 'x' and 'y' axes. To find the intercepts of a graph, you need to find the values of x and y assuming that y = 0 and x = 0, respectively.

The x-intercept is the point where 'y' is 0. So, take the equation and plug in 0 for 'y'.

#y = -6/5x + 6#

#0 = -6/5x + 6#

#-6 = -6/5x#

#1 = 1/5x#

#5=x#

So, the x-intercept is 5.

The y-intercept is the point where 'x' is 0. So, take the equation and plug in 0 for 'x'.

#y = -6/5x + 6#

#y = -6/5(0) + 6#

#y = 6#

So, the y-intercept is 6.