SOLUTION: Please help me solve this equation: {{{ a line through (-1,1) and (2,3) }}} using y=mx+b

Algebra ->  Coordinate-system -> SOLUTION: Please help me solve this equation: {{{ a line through (-1,1) and (2,3) }}} using y=mx+b      Log On


   

Question 627342: Please help me solve this equation: +a+line+through+%28-1%2C1%29+and+%282%2C3%29+ using y=mx+b
Answer by asuar010(338) About Me  (Show Source):
You can put this solution on YOUR website!
First find the slope by the formula m=%28y2-y1%29%2F%28x2-x1%29 which leads to m=%283-1%29%2F%282-%28-1%29%29 then m=2%2F3 which then we can use the equation y-y1=m%28x-x1%29 which then leads to y-1=%282%2F3%29%28x-%28-1%29%29 which leads to y-1=%282%2F3%29x%2B2%2F3 which then becomes y=%282%2F3%29x%2B2%2F3%2B1 which finally becomes y=%282%2F3%29x%2B5%2F3