Parallel lines have equal slopes.

3x - 5y = -7

-5y = -3x - 7 {subtracted 3x from each side}

y = (3/5)x - 7 {divided each side by -5}

slope = 3/5

line through (5,5) with a slope of 3/5

y = mx + b {slope-intercept form}

m is the slope and b is the y-intercept}

5 = (3/5)(5) + b {substituted 3/5 in for slope into slope-intercept form}

5 = 3 + b {multiplied}

b = 2 {subtracted 3 from each side}

**y = (3/5)x + 2** {substituted slope and y-intercept into slope-intercept form}

*- Algebra House*
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