Question

What is m = 2/3; (6, 1) in slope intercept form? :)

Answer 1

Answer:

y = 2/3x - 3

Step-by-step explanation:

First let's look at what slope-intercept form is.

y = mx + b

m is the slope, which in this case is 2/3

b is the y-intercept, which we will find later.

Now that we have identified the parts of the equation, let's plug in what we know. Use the point given for your x and y values.

y = mx + b

1 = 2/3(6) + b

Let's simplify this to find b.

[multiply] 1 = 4 + b

[subtract 4]

-3 = b

We now have our b-value, which is also our y-intercept. Plug in this value into the standard slope-intercept equation.

y = 2/3x - 3

This is your equation.

Check this by plugging in the point again.

1 = 2/3(6) - 3

[multiply] 1 = 4 - 3

[subtract]

1 = 1

This expression is true; therefore, your answer is correct.

Hope this helps!