SOLUTION: Write the equation for the straight line that passes through the following points: (–1, 2) and (2, –3). What is the slope of the above line ? What are its x-intercept and y

Algebra ->  Linear-equations -> SOLUTION: Write the equation for the straight line that passes through the following points: (–1, 2) and (2, –3). What is the slope of the above line ? What are its x-intercept and y      Log On


   

Question 348682: Write the equation for the straight line that passes through the following points: (–1, 2) and (2, –3).
What is the slope of the above line ?
What are its x-intercept and y-intercept?


Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
Hi,
*Note: Slope can be detemined by using the point-slope formula
m+=+%28y%5B2%5D+-+y%5B1%5D%29%2F%28x%5B2%5D+-+x%5B1%5D%29
.
(–1, 2) and (2, –3)
m+=+%28-3-+2%29%2F%282-+%28-1%29%29
.
m+=+%28-5%29%2F3%29
.
using the equation of a line y= mx + b where m is the slope and b the y-intercept
y=+%28-5%2F3%29x+%2B+b
.
substituting one of the points (-1,2) to solve for b
2=+%285%2F3%29+%2B+b
2+-+%285%2F3%29=+b
b= 1/3
.
equation of the line:
y = (-5/3)x + 1/3
which may be written as
3y + 5x = 1
.
Might recommend substituting the Points given (–1, 2) and (2, –3) to check your answer