Hi, Lil,
The equation will be in the form y = mx + b, where m is the slope and b is the y intercept. We are given the slope, 2, so let's start there:
y = 2x + b
b is the y intercept. We are given the x intercept, but we can use that information. The term "y intercept" means the value of y when x = 0. The x intercept is the value of x when y = 0. The x intercept can be written as the point (6,0), which means when x = 6, y is 0. Let's use that point in the equation to find b.
0 = 2*6 + b
b = -12
So the equation is y = 2x -12
To find the y intercept, calculate the value of y when x is 0:
y = 2(0) - 12
The y intercept is -12.
I hope this helps,
Bob
