Question

Which is the graph of y – 3 = 2/3 (x + 6)?

Answer 1

Hello! Welcome to QuestionCove!

First distribute 2/3 using the distributive property

a(b + c) = ab + ac
a(b - c) = ab - ac

Second, add 3 to both sides so that way you can isolate y

You now have the equation in the form of y = mx + b
Where m is the slope, and b is the y-intercept
The y-intercept is the point (0, b)
It is where the line intersects the y-axis (so the x-coordinate would be 0)

We can graph it now that we know the equation.

Since we already have one point, the y-intercept which is (0, b), first plot that.
You can then use a test point by plugging in any value you wish for x, such as 1, and then solve for y.

This is necessary because you need at least 2 points to draw a line.

Let me know how far you get and/or if you need more help in understanding your question :)