Question 348682
Hi,
*Note: Slope can be detemined by using the point-slope formula
{{{m = (y[2] - y[1])/(x[2] - x[1])}}}
.
(–1, 2) and (2, –3)
{{{m = (-3- 2)/(2- (-1))}}}
.
{{{m = (-5)/3)}}}
.
using the equation of a line  y= mx + b where m is the slope and b the y-intercept
{{{y= (-5/3)x + b}}}
.
substituting one of the points (-1,2) to solve for b
{{{2= (5/3) + b}}}
{{{2 - (5/3)= 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