You have the following equation:
y + 9 = 2(x+ 5)
THe general form of an equation of a line in its slope intercept form is given by:
y = mx + b
where m is the slope and b the y-intercept
write the given equation in the form y = mx + b, as follow:
y + 9 = 2(x + 5) apply distribution property
y + 9 = 2x + 10 subtract 9 both sides
y = 2x + 10 - 9 simplify left side
y = 2x + 1
Hence, the slope intercept form of the given equation is y = 2x + 1
you can notice that the slope is m = 2 and b = 1
