Find the slope, the x-intercept, and the y-intercept of the line 8x+2y-3=0 the slope m= the x-intercept is= thhe y-intercept is =

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embizze | High School Teacher | (Level 1) Educator Emeritus

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If a line is given in standard form Ax+By=C then the slope is `m=(-A)/B` and the y-intercept is `C/B` . The x-intercept is where y=0, so the x-intercept is `C/A.`

Given 8x+2y-3=0 then we can rewrite as 8x+2y=3 so:

The slope `m=-8/4=-2`

The y-intercept is `3/2`

The x-intercept is `3/8`

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Another approach is to rewrite in slope-intercept form y=mx+b where a is the slope and b the y-intercept. The x-interept is where y=0 so the x-intercept can be found by substituting 0 for y and solving for x. Then `0=mx+b==>mx=-b ==> x=-b/m`

So we rewrite 8x+2y-3=0 in slope intercept form:

`8x+2y-3=0`

`8x+2y=3`

`2y=-8x+3`

`y=-4x+3/2`

Then the slope `m=-4` , the y-intercept is `3/2` , and the x-intercept is `(-3/2)/(-4)=3/8` as before.

The graph:

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