Step 1: Determine b using slope-intercept form*, the given point, and the given slope.
[tex]5 = 4(1) + b\\\\5 = 4 + b\\\\1 = b[/tex]
Step 2: Use b and m (or slope) to write the equation of the line in point-slope form** and slope-intercept form*.
[tex]y = 4x + 1\\\\y - 5 = 4(x - 1)[/tex]
*Slope-intercept form: y = mx + b
**Point-slope form: y - y₁ = m(x - x₁)