Question

Y+2=-(x+4) in slope intercept form

Answer 1

Step-by-step explanation:

we can begin by expressing the equation in

slope-intercept form

$∙y=mx+b$

$⇒y+2=−x+4$

$← distributing bracket$

$⇒y=−x+2$

$we \: can \: now \: find \: the \: intercepts, that \: is \: where \: the \: line \: crosses \: the \: x \: and \: y \: axes$

$∙ let \: x = 0, in \: the \: equation \: for \: y-intercept$

$∙ let \: y = 0, in \: the \: equation \: for \: x-intercept$

$x=0→y=0+2⇒y=2← y-intercept$

$y=0→0=−x+2⇒x=2← x-intercept$

$plot \: (0,2) \: and \: (2,0) \: and \: draw \: a \: straight \: line \: through \: them \: graph \: ({-x+2 [-10, 10, -5, 5]}$