# What is the slope-intercept form of the line passing through #(2, 2) # and #(-1, 4) #?

An equation is followed by a line in the plane.

I write one variable as the other from one of the two equations (let's say the first):

and now enter this in the other formula.

There is an equation on the line.

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To find the slope-intercept form of the line passing through the points (2, 2) and (-1, 4), first find the slope using the formula ( m = \frac{{y2 - y1}}{{x2 - x1}} ), then use the point-slope form ( y - y1 = m(x - x1) ) to derive the slope-intercept form. After calculations, the equation in slope-intercept form is ( y = -\frac{1}{3}x + \frac{8}{3} ).

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