How do you graph $y + 2 = - (x - 4)$ $y+2=-(x-4)$ ?

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How do you graph $y + 2 = - (x - 4)$ $y+2=-(x-4)$ ?

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Answer 1 · 2017-09-10T08:43:38

$see explanation$ $"see explanation"$

Explanation:

$we can begin by expressing the equation in$ $"we can begin by expressing the equation in "$
$slope-intercept form$ $color(blue)"slope-intercept form"$

$∙ x y = m x + b$ $•color(white)(x)y=mx+b$

$\Rightarrow y + 2 = - x + 4 \leftarrow distributing bracket$ $rArry+2=-x+4larr" distributing bracket"$

$\Rightarrow y = - x + 2$ $rArry=-x+2$

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

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

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

$x = 0 \to y = 0 + 2 \Rightarrow y = 2 \leftarrow y-intercept$ $x=0toy=0+2rArry=2larrcolor(red)" y-intercept"$

$y = 0 \to 0 = - x + 2 \Rightarrow x = 2 \leftarrow x-intercept$ $y=0to0=-x+2rArrx=2larrcolor(red)" x-intercept"$

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

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How do you graph $y + 2 = - (x - 4)$ $y+2=-(x-4)$ ?

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How do you graph y+2=−(x−4)y+2=-(x-4)?

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How do you graph $y + 2 = - (x - 4)$ $y+2=-(x-4)$ ?