Question

write the slope intercept form of the equation of the line with the points(-5,-2),(5,2)

Answer 1

slope intercept is y = mx + b where m is the slope and b is the intercept.  There are a couple of ways to go about this

slope (m) = (-2-2)/(-5-5)   or m = -4/-10  which then m = 2/5

so y = 2/5x + b you have two points each which represents an x and a y so you can plug one set of points into the equation

2 = 2/5(5) + b solving 2 = 2 + b so b = 0

final equation y = 2/5x