Question

Write the equation of the line that passes through the points

Answer 1

Answer:

y = 5x + 8

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Answer 2

Answer:

y - 3 = 5(x + 1)  (fully reduced point-slope form)

Step-by-step explanation:

Moving from the first point to the second, we see x increasing by 2 and y by 10.  Thus, the slope of the line through these two points is m = rise / run = 10/2, or m = 5.  Applying the point-slope formula y - k = m(x - h), we get:

y - 3 = 5(x + 1)  (fully reduced point-slope form)

or   y = 3 + 5x + 5, or y = 5x + 8   (slope-intercept form)