write in slope intercept form an equation of the line that passes through the given points (-2,3) (2,7)

1. Slope = Yb - Ya / Xb - Xa
= 7-3/2-(-2)
= 7-3/2+2
= 4/4
= 1

2. Y-intercept
Y = mx + b
7 = (1)(2) + b
7 = 2 + b
7 - 2 = 2-2 + b (two’s cancel out and we are just left with our b on the right side)
5 = B

Therefore, the equation is: Y = 1x + 5 which is also the same thing as: Y= X +5.

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