How do you find the intercepts for #y=2x+6#?

1 Answer
Jun 13, 2015

Answer:

The #y# intercept is 6, and the #x# intercept is -3.

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 = 2x + 6#
#0 = 2x + 6#
#2x = -6#
#x = -3#

So, the x-intercept is -3.

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

#y = 2x + 6#
#y = 2(0) + 6#
#y = 6#

So, the y-intercept is 6.