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

1 Answer
May 10, 2018

#y_("intercept") = +5 color(white)(.)->(x,y)=( 0,5)#

#x_("intercept")=+5/2 ->(x,y)=(5/2,0)#

color(white)(

Explanation:

Write as: #color(green)(y=-2xcolor(red)(+5))#

#color(red)(y_("intercept") = 5)#
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The plotted line crosses the x-axis at #y=0#

Set #y=0=-2x+5#

Subtract 5 from both sides

#0-5=-2x+5-5#

#-5=-2x#

Divide both sides by -2

#(-5)/(-2)=(-2)/(-2)x#

#+5/2=x_("intercept")#

Tony B