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

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

$y=-\dfrac{1}{6}x+b$

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

$3=-\dfrac{1}{6}(12)+b$

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

$5=b$

Answer: b = 5

Answer 2

Answer:

The value of b is 5.

Step-by-step 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 $m=\frac{-1}{6}, x=-6\ \text{and}\ y = 6$ in slope intercept form:

$6=\frac{-1}{6}\times(-6)+b$

$6=1+b$

$5=b$

Thus, the value of b is 5.