Line AB passes through points A(−6, 6) and B(12, 3). If the equation of the line is written in slope-intercept form, y=mx+b, then m=m equals negative StartFraction 1 Over 6 EndFraction.. What is the value of b?

A general line equation is something of the form:

y = m*x + b

Where m is the slope and b is the y-intercept.

We will find that the value of b is 5.

If we know that the line passes through the points (x₁, y₁) and (x₂, y₂) the slope can be written as:

Here we do know that the line passes through (-6, 6) and (12, 3).

Then the slope is just:

Then the linear equation is something like:

Now, knowing that the function passes through the point (-6, 6), we can replace these values in the above equation to get:

Then the linear equation is:

If you want to learn more, you can read:

link

Step-by-step explanation:

As the equation in  point-slope form

Here:

using  and then

Thus

comparing the equation with the slope-intercept form

so,

Therefore,

sas (side angle side)

aa(angle angle)

sss(side side side)

sas you have to find two sides with an angle in between

aa you find two angles because it will always add up to 180

sss find all sides

step-by-step explanation: