Find the equation of the line. Use exact numbers. PLEASE HELP

The equation of the line is y =   x - 6

Step-by-step explanation:

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

The rule of the slope is m = , where

In the given figure

∵ The line passes through points (0, -6) and (4, -7)

∴ x1 = 0 and y1 = -6

∴ x2 = 4 and y2 = -7

→ Substitute them in the rule of the slope

∵ m = = =

∴ m =

∵ b is the value of y at x = 0

∵ y = -6 at x = 0

∴ b = -6

→ Substitute the values of m and b in the form of the equation above

∵ y = x + (-6)

∵ (+)(-) = (-)

∴ y =   x - 6

∴ The equation of the line is y =   x - 6

a negative exponent is translated as follows:

so, we have