How do you graph $y = - 6 + 2 x$ $y=-6+2x$ using the intercepts?

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How do you graph $y = - 6 + 2 x$ $y=-6+2x$ using the intercepts?

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Answer 1 · 2016-06-07T16:05:27

$\Rightarrow y_{intercept} \to (x, y) = (0, - 6)$ $color(blue)(=>y_("intercept") ->(x,y) = (0,-6))$

$\Rightarrow x_{intercept} \to (x, y) = (3, 0)$ $color(blue)(=>x_("intercept") ->(x,y) = (3,0))$

Explanation:

Find the points of intercepts and draw a line through them.

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
$Determine the x intercept$ $color(blue)("Determine the "x" intercept")$

The line crosses the x-axis at $y = 0$ $y=0$ so by substitution we have:

$y = 2 x - 6 \to 0 = 2 x - 6$ $color(brown)(y=2x-6)color(green)(" "->" "0=2x-6)$

Add 6 to both side so that the 6 on the right becomes 0

$6 = 2 x + 0$ $6=2x+0$

Divide both sides by 2 so that the 2 from $2 x$ $2x$ becomes 1. This is because $1 \times x = x$ $1xx x=x$ . That is, you get rid of the 2 on the right.

$\frac{6}{2} = \frac{2}{2} \times x$ $6/2=2/2xx x$

$3 = x$ $3=x$

$\Rightarrow x_{intercept} \to (x, y) = (3, 0)$ $color(blue)(=>x_("intercept") ->(x,y) = (3,0))$

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
$Determine the y intercept$ $color(blue)("Determine the "y" intercept")$

The line crosses the y-axis at $x = 0$ $x=0$ so by substitution we have:

$y = 2 x - 6 \to y = 2 (0) - 6$ $color(brown)(y=2x-6)color(green)(" "->" "y=2(0)-6)$

But $2 \times 0 = 0$ $2xx0=0$

$y = 0 - 6$ $y=0-6$

$y = - 6$ $y=-6$

$\Rightarrow y_{intercept} \to (x, y) = (0, - 6)$ $color(blue)(=>y_("intercept") ->(x,y) = (0,-6))$
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How do you graph $y = - 6 + 2 x$ $y=-6+2x$ using the intercepts?

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Science

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How do you graph y=−6+2xy=-6+2x using the intercepts?

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Explanation:

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How do you graph $y = - 6 + 2 x$ $y=-6+2x$ using the intercepts?