x intercept 2 y intercept 2/3 slope intercept form
well we know that the x intercept is when it crosses the x-axis so y is zero so we have the point (2,0) and y intercept crosses the y-axis so x is zero (0,2/3)
we know slope intercept form is y=mx+b and b is the y intercept so we can plug in the given there so we have y=mx+2/3
so we are looking for m or the slope and we know slope is change in y over change in x so we can use the formula\[\frac{ y _{2}-y _{1} }{ x _{2}-x _{1} }\] for the two points we found out we had and then calculate the slope
solpe itercept line is what is it 1/6x +2/3
slope intercept form for the line is
so it is y2-y1/x2-x1 so that is \[\frac{ \frac{ 2 }{ 3 }-0 }{ 0-2 }\]
and solve that and you have your slope
2x+2/3
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