Question

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 = –1/6.

and b = ?

Answer 1

The value of b is 5.

Explanation:

Consider the provided information.

It is given that the slope intercept form is, y = mx + b

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

Also, it is given that the slope of the line is -1/6.

Line AB passes through points A(–6, 6) and B(12, 3).

That means Point A and B must satisfy the equation of line.

Substitute
`m=(-1)/(6), x=-6\ \text{and}\ y = 6` in slope intercept form:

`6=(-1)/(6)*(-6)+b`

`6=1+b`

`5=b`

Thus, the value of b is 5.

Answer 2

Put the value of slope to the equation of the function:

`y=-(1)/(6)x+b`

Put the coordinates of the point B(12, 3) to the equation:

`3=-(1)/(6)(12)+b`

`3=-2+b` add 2 to both sides

`5=b`

Answer: b = 5