SOLUTION: The question is write the slope-intercept form of the equation for the line passing through the given pair of points. the points are (2,0)and(0,5)

Algebra ->  Graphs -> SOLUTION: The question is write the slope-intercept form of the equation for the line passing through the given pair of points. the points are (2,0)and(0,5)       Log On


   

Question 189488: The question is write the slope-intercept form of the equation for the line passing through the given pair of points. the points are (2,0)and(0,5)
Found 2 solutions by jim_thompson5910, josmiceli:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
First let's find the slope of the line through the points and


m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29 Start with the slope formula.


m=%285-0%29%2F%280-2%29 Plug in y%5B2%5D=5, y%5B1%5D=0, x%5B2%5D=0, and x%5B1%5D=2


m=%285%29%2F%280-2%29 Subtract 0 from 5 to get 5


m=%285%29%2F%28-2%29 Subtract 2 from 0 to get -2


m=-5%2F2 Reduce


So the slope of the line that goes through the points and is m=-5%2F2


Now let's use the point slope formula:


y-y%5B1%5D=m%28x-x%5B1%5D%29 Start with the point slope formula


y-0=%28-5%2F2%29%28x-2%29 Plug in m=-5%2F2, x%5B1%5D=2, and y%5B1%5D=0


y-0=%28-5%2F2%29x%2B%28-5%2F2%29%28-2%29 Distribute


y-0=%28-5%2F2%29x%2B5 Multiply


y=%28-5%2F2%29x%2B5%2B0 Add 0 to both sides.


y=%28-5%2F2%29x%2B5 Combine like terms.


So the equation that goes through the points and is y=%28-5%2F2%29x%2B5

Notice how the graph of y=%28-5%2F2%29x%2B5 goes through the points and . So this visually verifies our answer.
Graph of y=%28-5%2F2%29x%2B5 through the points and

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The slope-intercept form is:
y+=+mx+%2B+b
The points are (2,0) and (0,5)
I can write an equation for each point:
(1) 0+=+m%2A2+%2B+b
(2) 5+=+m%2A0+%2B+b
From (2), b=5
(1) 0+=+2m+%2B+5
(1) 2m+=+-5
(1) m+=+-5%2F2
The equation is:
y+=+%28-5%2F2%29%2Ax+%2B+5