SOLUTION: This is 1 question with different parts. Graph the line containing the given pair of points and find the slope. (3,0), -1,-5) What is the slope of the line? m = ___ (simplify

Algebra ->  Graphs -> SOLUTION: This is 1 question with different parts. Graph the line containing the given pair of points and find the slope. (3,0), -1,-5) What is the slope of the line? m = ___ (simplify       Log On


   

Question 165531: This is 1 question with different parts.
Graph the line containing the given pair of points and find the slope.
(3,0), -1,-5)
What is the slope of the line?
m = ___
(simplify your answer. Type an integer or a fraction. Type N if the slope is undefined.)
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!

Remember: Finding the Slope: m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29
Given points: (3,0)(-1,-5)
Continuing,
m=%28-5-0%29%2F%28-1-3%29=-5%2F-4
highlight%28m=5%2F4%29, SLOPE
Next, we need to find the intercepts of the line with slope m=5%2F4:
y=mx%2Bb, SLOPE INTERCEPT FORM
Thru points (3,0):
0=%285%2F4%293%2Bb
b=-%285%2F4%293=-15%2F4
Thru points (-1,-5):
-5=%285%2F4%29%28-1%29%2Bb
b=-5%2B%285%2F4%29=%28-20%2B5%29%2F4=-15%2F4, same y-intercept
Then,
f(x)=0: thru SLOPE INTERCEPT FORM EQN, either points (3,0) or (-1,-5),
y=%285%2F4%29%280%29-15%2F4
highlight%28y=-15%2F4%29
f(y)=0:
0=%285%2F4%29x-15%2F4

highlight%28x=3%29
See graph below:
--- thru slope=5%2F4,the line passes thru x & y intercepts (3,-15/4)
Thank you,
Jojo