Write the equation of the parallel line

Write the equation of the line through passing through (3,2) and parallel to the line 4x - y = 5.

Parallel lines have equal slopes 

Slope-intercept form is y = mx + b
m is the slope
b is the y-intercept 

4x - y = 5
-y = -4x + 5   {subtracted 4x form each side}
y = 4x - 5   {divided each side by -1}
slope of given line is 4 

(3,2) , m = 4   {the point and slope}
y - y1 = m(x - x1)   {point-slope form}
y - 2 = 4(x - 3)   {substituted point and slope into point-slope form}
y - 2 = 4x - 12   {used distributive property}
y = 4x - 10   {added 2 to each side}

- Algebra House