How do you find the x and y intercepts for #2x - 2y + 5 = 0#?

2 Answers
Jun 12, 2018

Intercepts such that: #(-\frac{5}{2},0)# and #(0,\frac{5}{2})#

Explanation:

The y intercept will occur when #x=0#, therefore by subbing in #x=0#, we isolate y, to form the equation:

#-2y+5=0# which we solve to find #y=\frac{5}{2}#

The x intercept occurs when #y=0# therefore do the same procedure to get:

#2x+5=0# which we solve to find #x=-\frac{5}{2}#

Jun 12, 2018

#"x-intercept "=-5/2,"y-intercept "=5/2#

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=0rArr-2y=-5rArry=5/2larrcolor(red)"y-intercept"#

#y=0rArr2x=-5rArrx=-5/2larrcolor(red)"x-intercept"#