Book Maths Puzzle Co-ordinate geometry

I am having a hard time trying to determine the slope intercept form of an equation of a line that passes through the points (6, -2) and has a y - intercept of -2. can you please explaine steps-by-steps

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Book Other Question

Timothy's age in 13 yers will be twice what it was 15 years ago. How old is Timothy now? I am having a hard time to find the equation of the line through the points
(-3, -2) and (1, 4). can you explaine step-by-step and write the equation in standard form.