y = (1/6)x - 3
Step-by-step explanation:
The line goes through (0, -3) and (6, -2) and the slope is given by
m = (y2 - y1)/(x2 - x1)
= (-2 -(-3))/(6 - 0)
= 1/6
so the slope-intercept form of a linear equation is given by
y = mx + b
Using the value of m we just obtained and using the point (0, -3) to find b, we get
(-3) = (1/6)(0) + b ---> b = -3
Therefore, the equation takes the form
y = (1/6)x - 3
