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write an equation in slope-intercept form, for the line that passes through (0,0) with a slope of 4/5.

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For a line that passes through the origin (0,0) the process is very simple. The slope-intercept formula for a line is y = mx + b, where m is equal to the slope and b is the y-intercept. Since your line is passing through the origin, the y-intercept is 0. This means all you have to do is add your slope into the formula. Y = 4/5x