SOLUTION: Write an equation of the line that passes through the given two points. Write the equation in slope intercept form. 3. (4, 1), (7, 0) 4.(-2, -7), (6, 9)

Algebra ->  Coordinate-system -> SOLUTION: Write an equation of the line that passes through the given two points. Write the equation in slope intercept form. 3. (4, 1), (7, 0) 4.(-2, -7), (6, 9)      Log On


   

Question 1197661: Write an equation of the line that passes through the given two points. Write the equation in slope intercept form.
3. (4, 1), (7, 0)
4.(-2, -7), (6, 9)
Found 2 solutions by ewatrrr, MathLover1:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi  
Write an equation of the line that passes through the given two points:

 (4, 1), 
 (7, 0)  m = 1/-3     | m =%28y%5B1%5D+-+y%5B2%5D%29%2F%28x%5B1%5D+-+x%5B2%5D+%29
	
***Using point-slope form, ***y+-+y%5B1%5D+=+highlight_green%28m%29%28x+-+x%5B1%5D%29
P(7,0) , m = (-1/3)
   y  = (-1/3)x +7/3   Slope Intercept Form


4.(-2, -7)
  (6,  9)
This would be done exactly the same way:  
Find m and pick a point to use with ***

Wish You the Best in your Studies.


Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

3. (4, 1), (7,+0)

first find a slope:

m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29
m=%280-1%29%2F%287-4%29
m=-1%2F3
then use point slope formula for equation

y-y%5B1%5D=m%28x-x%5B1%5D%29....plug in a slope and one point

y-0=-%281%2F3%29%28x-7%29
y=-%281%2F3%29x-7%2A%28-%281%2F3%29%29
y=-%281%2F3%29x%2B7%2F3




4.(-2%5D%7D%7D%2C%7B%7B%7B+-7), (6, 9)

find a slope:

m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29
m=%289-%28-7%29%29%2F%286-%28-2%29%29
m=16%2F8
m=2
then use point slope formula for equation

y-y%5B1%5D=m%28x-x%5B1%5D%29....plug in a slope and one point

y-9=2%28x-6%29
y=2x-12%2B9
y=2x-3