(1,-3) and (3,1) are the given points
To find equation of line , we need to find slope and y intercept
Slope intercept form of the line is y=mx+b
To find slope we use slope formula
[tex]m= \frac{y_2 - y_1}{x_2 - x_1}[/tex]
(1,-3) is (x1,y1) and (3,1) is (x2,y2)
[tex]m= \frac{1-(-3)}{3 - 1}[/tex]
[tex]m= \frac{4)}{2}[/tex]
slope m = 2
y = mx + b
use slope m =2 and (3,1)
1 = 2(3) + b
1 = 6 + b
b = -5
Equation of the line is y = 2x - 5
