Question 354128
Hi,

Note: Knowing 2 points, determining the equation for the line in the slope-intercept form: y = mx + b. is done in 2 steps

First step: Use the point-slope formula for a line to determine the slope:
{{{m =(y[2] - y[1])/(x[2] - x[1])}}}
.
(8,-3) (9,10)
{{{m =(10 - (-3))/(9 - 8)}}}
.
{{{m =(13/1)}}}
 m = 13
y = 13x + b
.
Second step: use one of the points to solve for b (the y-intercept )
.
(9,10)
10 = 117  + b
-107 = b
.
y = 13x -107
.
{{{drawing(300,300, -10, 10, -20, 20,
circle(8, -3,0.4),
circle(9, 10,0.4),
graph( 300, 300, -10, 10, -20, 20, 13x-107))}}}