We can start by using the formula y = mx + b
m = slope
b = y-intercept
we are already given our slope, so we can plug that in: y = 2/3 x + b
To find b, we can plug in (-5,-6) for x and y
-6 = 2/3 (-5) + b
multiply everything by 3 to get rid of the denominator
-18 = -10 + 3b
add 10 to both sides
-8 = 3b
divide
-8/3 = b
now that we have b, we now know the entire formula:
y = 2/3 x - 8/3 is a line that contains the point (-5,-6) and has a slope of 2/3
