Does the point (-1, 2) lie on the graph of y = -2x + 3?

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Does the point (-1, 2) lie on the graph of y = -2x + 3?

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Answer 1 · 2016-07-08T12:35:59

$(- 1, 2)$ $(-1,2)$ does not lie on $y = - 2 x + 3$ $y=-2x+3$

Explanation:

$(- 1, 2)$ $(color(red)(-1),color(blue)(2))$ is a point on $y = - 2 x + 3$ $color(blue)(y)=-2color(red)(x)+3$
if (and only if)
$y = 2$ $y=color(blue)(2)$ when $x = - 1$ $x=color(red)(-1)$ in $y = - 2 x + 3$ $y=-2x+3$

$y = - 2 (- 1) + 3 = + 2 + 3 = 5$ $y=-2(color(red)(-1))+3=+2+3=color(green)(5)$

Since $5 \neq 2$ $color(green)(5) != color(blue)(2)$
$(- 1, 2)$ $(-1,2)$ does not lie on the line $y = - 2 x + 3$ $y=-2x+3$

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Does the point (-1, 2) lie on the graph of y = -2x + 3?

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