Someone please help me with this Write the equation of the line fully simplified slope-intercept form.

The equation of the line is y = -x + 8

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 (8, 0) and (0, 8)

∴ x1 = 8 and y1 = 0

∴ x2 = 0 and y2 = 8

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

∵ m =

∴ m = -1

→ Substitute it in the form of the equation above

∵ y = -1(x) + b

∴ y = -x + b

∵ b is value y at x = 0

∵ At x = 0, y = 8

∴ b = 8

→ Substitute it in the equation above

∴ y = -x + 8

∴ The equation of the line is y = -x + 8