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...

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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**