Answers

1. Answer:

   y = 7x – 2

   Step-by-step explanation:

   first we need the slope of the line.

   the slope is expressed a the ratio (y coordinate change / x coordinate change) when we go from one point on the line to another.

   so, let’s say we go from (0, -2) to (1, 5), we see

   x changes by +1 (from 0 to 1).

   y changes by +7 (from -2 to 5)

   so the slope is +7/+1 = 7

   the slope-intercept form is in general

   y = ax + b

   a being the slope, b being the y-intercept (the y-value for x = 0).

   the point (0, -2) gives us therefore the y-intercept directly : -2.

   by using the already established slope and the point (0, -2) for the y-intercept the equation of our line is

   y = 7x – 2

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