Find equation of line due rn PLEASE HELP

The equation of the line is y = x + (-2)

Step-by-step explanation:

The slope-intercept form of the linear equation is y = m x + b, where

The rule of the slope is m = , where

From the given figure

∵ The line passes through points (0, -2) and (8, 4)

∴ x1 = 0 and y1 = -2

∴ x2 = 8 and y2 = 4

→ Substitute them in the rule of the slope above to find it

∵ m = = = =

∴ m =

→ Substitute it in the form of the equation

∴ y = = x + b

∵ b is the value of y at x = 0

∵ At x = 0, y = -2

∴ b = -2

→ Substitute it in the equation

∴ y = x + (-2)

∴ The equation of the line is y = x + (-2)