Answers

1. Step-by-step explanation:

   as we have a point and the slope, we can start with the point-slope form and then transform.

   the point-slope form is

   y – y1 = a(x – x1)

   (x1, y1) being a point on the line, a being the slope.

   the slope-interceot form is

   y = ax + b

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

   so, we have

   y – -5 = 5/2 × (x – -4)

   y + 5 = 5/2 × (x + 4) = 5x/2 + 5×4/2 = 5x/2 + 10

   y = 5x/2 + 5

   or

   y = (5/2)x + 5

   and this is already the slope-intercept form. all done.

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