How can the line passing through the points (3,5) and (1,4) be written in the slope intercept form?
The equation of a line passing through the points (x1, y1) and (x2 , y2) is given by
(y - y1) = [(y2 - y1)/(x2 - x1)]*(x - x1)
Here we have x1 = 3, x2 = 1 , y1 = 5 and y2 = 4.
Substituting the values:
y - 5 = [-1 / -2]( x - 3)
=> y - 5 = (1/2)(x - 3)
=> 2y - 10 = x - 3
=> 2y = x + 7
Now this is the equation in the slope intercept form. The slope is (1/2) and the y intercept is (7/2).
=> y = x / 2 + 7/2
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