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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