that goes through points (6,-2) and (8,6)

Slope intercept form of a line in general is: Y = mX + C

where m is the slope and C is the y-intercept

slope, m = difference of y coordinates of two points / difference of x coordinates of two points

m = (6-(-2) / (8-6) = 4

so the line equation would be: y = 4x+c

put (6,-2) [we can use any of the two given coordinates] in equation and solve for C

-2 = 4*6 + c

c = -2-24 = -26

Therefore, final equation fo the line will be

y = 4x-26

Let me know if you need further help.

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