58.1k views
1 vote
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 = – and b =

User Seth Reno
by
8.4k points

2 Answers

7 votes
Slope = (6-3) / -6-12) = 3 / -18 = -1/6

y = -1/6 x + b

Plug in x = -6 and y = 6 to find the value of b:-

6 = -1/6*-6 + b
b = 6-1 = 5

So the answer is m = -1/6 and b = 5
User Siu Chung Chan
by
7.7k points
4 votes

Answer: The required slope-intercept f the line AB is
y=-(1)/(6)x+5,

where
m=-(1)/(6) and c = 5.

Step-by-step explanation: Given that a line AB passes through points A(–6, 6) and B(12, 3).

We are to find the equation of the line in slope-intercept form, y = mx + c.

The line AB passes through the points A(-6, 6) and B(12, 3), so the slope of the line AB will be


m=(3-6)/(12-(-6))=(-3)/(18)=-(1)/(6).

Also, since A(6, -6) is a point on the line AB, so the equation of the line is given by


y-6=-(1)/(6)(x-(-6))\\\\\\\Rightarrow y-6=-(1)/(6)(x+6)\\\\\\\Rightarrow y-6=-(1)/(6)x-1\\\\\\\Rightarrow y=-(1)/(6)x-1+6\\\\\\\Rightarrow y=-(1)/(6)x+5.

Thus, the required slope-intercept f the line AB is
y=-(1)/(6)x+5,

where
m=-(1)/(6) and c = 5.

User Charley Wu
by
8.2k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories