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, the n m=m equals negative StartFraction 1 Over 6 EndFraction.. What is the value of b? −6 −5 5 6
2 answers:
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: 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
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