How do you find the x and y intercepts for #4x - y = 10#?

1 Answer
Jan 30, 2016

Answer:

The x-intercept is the point where the y-value is zero, and vice versa. Substituting 0 in for #x# and #y# in turn and solving gives #x-"intercept"=(10/4,0), y-"intercept" = (0,-10)#.

Explanation:

The x-intercept for a function is the point where it crosses the x-axis, and that is the horizontal line '#y=0#'. Substitute in #y=0# in the original equation to find the x-intercept:

#4x-0=10#
#4x=10#
#x=10/4# #(or 2.5)#

The x-intercept, therefore, is the point #(10/4,0)#.

Similarly, the y-intercept is the point where the function crosses the y-axis, the line #x=0#, so substitute in #x=0#:

#0-y=10#
#y=-10#

So the y-intercept is the point #(0,-10)#.