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=m equals negative StartFraction 1 Over 6 EndFraction.. What is the value of b? −6 −5 5 6

Answer 1

Answer:

m = -1/6.

b = 5.

Step-by-step explanation:

Slope m =  (3 - 6) / (12 - -6)

=  -3 / 18

= -1/6.

y = -1/6 x + b

when x = 12 y = 3 so

3 = -1/6 * 12 + b

b =  3 + 2 = 5.

Answer 2

Answer: 5

Step-by-step explanation:

We can find our intercept b from the equation of the straight line:

y - y₁ = m (x-x₁ )

point A(-6, 6)

x₁ = -6 and y₁ =6

m= -1/6 (as stated in the question)

Inputing this values in our equation, we have;

y - 6 = -1/6 ( x - -6)

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

y - 6 = -1/6x -1

y = -1/6x - 1 + 6

y= -1/6x + 5

comparing y= mx+b with the equation above; b=5