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*