Step 1: Find the Slope
Slope Formula: (y2 - y1) / (x2 - x1)
Point 1 = (4, -3)
Point 2 = (2, 1)
Slope = (1 - - 3) / (2 - 4) = (4) / (-2) = -2
Step 2: Find the Y-Intercept
Plug in the slope and one of the points into slope-intercept form and solve for b.
Slope-Intercept Form: y = mx + b
1 = -2(2) + b
1 = -4 + b
b = 5
Step 3: Put it all together
Plug in the slope and y-intercept into slope-intercept form.
Slope-Intercept Form: y = mx + b
y = -2x + 5
Hope this helps!! :)