What are the intercepts of #3x-8y=4#?

2 Answers

#3/4# is the x-intercept, and #-2# is the y-intercept

Explanation:

To obtain the intercepts, divide the entire equation by the constant (#-4# here). We get #3/4x-8/4y=1#. The coefficient of #x# is the x-intercept and the coefficient of #y# is the y-intercept.

Apr 7, 2018

#"x-intercept "=4/3" and y-intercept "=-1/2#

Explanation:

#"to find the intercepts, that is where the graph crosses"#
#"the x and y axes"#

#• " let x = 0, in the equation for y-intercept"#

#• " let y = 0, in the equation for x-intercept"#

#x=0rArr0-8y=4rArry=-1/2larrcolor(red)"y-intercept"#

#y=0rArr3x-0=4rArrx=4/3larrcolor(red)"x-intercept"#
graph{(y-3/8x+1/2)((x-0)^2+(y+1/2)^2-0.04)((x-4/3)^2+(y-0)^2-0.04)=0 [-10, 10, -5, 5]}