"we can begin by expressing the equation in "we can begin by expressing the equation in
color(blue)"slope-intercept form"slope-intercept form
•color(white)(x)y=mx+b∙xy=mx+b
rArry+2=-x+4larr" distributing bracket"⇒y+2=−x+4← distributing bracket
rArry=-x+2⇒y=−x+2
"we can now find the intercepts, that is where the "we can now find the intercepts, that is where the
"line crosses the x and y axes"line crosses the x and y axes
• " let x = 0, in the equation for y-intercept"∙ let x = 0, in the equation for y-intercept
• " let y = 0, in the equation for x-intercept"∙ let y = 0, in the equation for x-intercept
x=0toy=0+2rArry=2larrcolor(red)" y-intercept"x=0→y=0+2⇒y=2← y-intercept
y=0to0=-x+2rArrx=2larrcolor(red)" x-intercept"y=0→0=−x+2⇒x=2← x-intercept
"plot "(0,2)" and "(2,0)" and draw a straight line "plot (0,2) and (2,0) and draw a straight line
"through them"through them
graph{-x+2 [-10, 10, -5, 5]}
