Gina Wilson geometry unit 3 homework 4: parallel line proofs ... - Free Printable

Let’s solve this step by step.

We are told:
- The slope (m) is 4.
- The line passes through the point (-1, -6). That means when x = -1, y = -6.

We want to find the equation of the line in slope-intercept form:
y = mx + b

We already know m = 4, so we can write:
y = 4x + b

Now we need to find b (the y-intercept). To do that, plug in the point (-1, -6) into the equation.

So replace x with -1 and y with -6:

-6 = 4*(-1) + b

Now calculate 4 times -1:

-6 = -4 + b

To solve for b, add 4 to both sides:

-6 + 4 = b
→ -2 = b

So now we know:
- m = 4
- b = -2

Plug those into y = mx + b:

y = 4x - 2

✔ Let’s double-check:
If x = -1, then y = 4*(-1) - 2 = -4 - 2 = -6 → matches the point given!
Slope is 4 → correct.

Final Answer:
y = 4x - 2