book Maths Puzzle Numerical Ability

How could I create a slope-intercept form if I am given this information: x int = 3, y int = 2. The only equation I could find to use was y-2 = m(x-3). Is this the correct form to use?

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book Other Question

Find the slope, if it exists, of the line containing the pair of points (4,-8) , and (-7,-8) Do all graphs of linear equations have x & y intercepts?