What are the intercepts of #-14y+4x=7#?

1 Answer
Feb 4, 2016

Answer:

#y_("intercept")=-1/2" "##" "x_("intercept")=1 3/4#

Explanation:

Given:#" " -14y+4x=7#

Rewrite as:#" "14y=4x-7#

Divide both sides by 14

#y=4/14x-7/14#

#y=2/7x-1/2#...................(1)
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
The x-intercept is when the graph 'crosses' the x-axis
and it crosses the x-axis at #y=0#

To find the x-intercept substitute #y=0# into equation (1)

# 0=2/7x-1/2#

#2/7x=1/2#

#x=(7xx1)/(2xx2) = 7/4 = 1 3/4#

#x_("intercept")=1 3/4#
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~
The y-intercept is when the graph 'crosses' the y-axis' and it crosses the y-axis at #x=0#

To find the y-intercept substitute #c=0# into equation (1)

#y=(2/7xx0)-1/2#

#y_("intercept")=-1/2#
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Tony B