How do you graph $4 x + 2 y = 6$ $4x+2y=6$ using intercepts?

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How do you graph $4 x + 2 y = 6$ $4x+2y=6$ using intercepts?

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Answer 1 · 2018-05-12T16:13:52

$see explanation$ $"see explanation"$

Explanation:

$to find the intercepts, that is where the graph crosses$ $"to find the intercepts, that is where the graph crosses"$
$the x and y axes$ $"the x and y axes"$

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

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

$x = 0 \Rightarrow 0 + 2 y = 6 \Rightarrow y = 3 \leftarrow y-intercept$ $x=0rArr0+2y=6rArry=3larrcolor(red)"y-intercept"$

$y = 0 \Rightarrow 4 x + 0 = 6 \Rightarrow x = \frac{3}{2} \leftarrow x-intercept$ $y=0rArr4x+0=6rArrx=3/2larrcolor(red)"x-intercept"$

$Plot the points (0, 3) and (\frac{3}{2}, 0)$ $"Plot the points "(0,3)" and "(3/2,0)$

$and draw a straight line through them for graph$ $"and draw a straight line through them for graph"$
graph{(y+2x-3)((x-0)^2+(y-3)^2-0.04)((x-3/2)^2+(y-0)^2-0.04)=0 [-10, 10, -5, 5]}

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How do you graph $4 x + 2 y = 6$ $4x+2y=6$ using intercepts?

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