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Reduce the equation `6x+3y-5=0` to the slope-intercept form and find its slope and y-intercept.

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Reduce the equation `6x+3y-5=0` to the slope-intercept form and find its slope and y-intercept.
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We know that the equation of a line with slope m and y-intercept c is given by y=mx+c
`"Now", 6x+3y-5=0 Rightarrow 3y=-6x+5`
`Rightarrow y=-2x+(5)/(3)`
`therefore m=-2 and c=(5)/(3)`
Hence, slope=-2 and y-intercept=`(5)/(3)`
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