SOLUTION: Find the equation for the line that passes through (−1, −2) and (4, 3). Is the point (3, 1) on this line? Be sure to justify your answer.

Algebra ->  Linear-equations -> SOLUTION: Find the equation for the line that passes through (−1, −2) and (4, 3). Is the point (3, 1) on this line? Be sure to justify your answer.      Log On


   



Question 908035: Find the equation for the line that passes through (−1, −2) and (4, 3). Is the point (3, 1) on this line? Be sure to justify your answer.
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
the equation for the line that passes through (−1, −2) and (4, 3):
Solved by pluggable solver: Find the equation of line going through points
hahaWe are trying to find equation of form y=ax+b, where a is slope, and b is intercept, which passes through points (x1, y1) = (-1, -2) and (x2, y2) = (4, 3).
Slope a is a+=+%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29+=+%283--2%29%2F%284--1%29+=+1.
Intercept is found from equation a%2Ax%5B1%5D%2Bb+=+y%5B1%5D, or 1%2A-1+%2Bb+=+-1. From that,
intercept b is b=y%5B1%5D-a%2Ax%5B1%5D, or b=-2-1%2A-1+=+-1.

y=(1)x + (-1)

Your graph:





Is the point (3, 1) on this line?

go to y=%281%29x+%2B+%28-1%29 or y=x+-1 and plug in x=3 and y=1; if left side of equation is equal to right side, than the point (3, 1) is on this line
1=3+-1
1=2 ...since 1%3C%3E2 the point (3, 1) is NOT on this line