Questions: Question 4 (2 points)
(Slope LC)
What is the slope of the line that contains the points (1,-9) and (-3,3) ?
a 3
b -3
c 1/3
d -1/3
Transcript text: Question 4 (2 points)
(Slope LC)
What is the slope of the line that contains the points $(1,-9)$ and $(-3,3)$ ?
a $\quad 3$
b $\quad-3$
C $\quad \frac{1}{3}$
d $-\frac{1}{3}$
Solution
Solution Steps
Step 1: Identify the given points
The given points are (1,−9) and (−3,3).
Step 2: Recall the slope formula
The slope m of a line passing through two points (x1,y1) and (x2,y2) is given by:
m=x2−x1y2−y1
Step 3: Substitute the values into the slope formula
Let (x1,y1)=(1,−9) and (x2,y2)=(−3,3). Substituting these values into the formula:
m=−3−13−(−9)=−412=−3
Final Answer
The slope of the line is −3. The correct choice is b.