Big Ideas Math Integrated I, 2016
BI
Big Ideas Math Integrated I, 2016 View details
3. Writing Equations of Parallel and Perpendicular Lines
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Exercise 8 Page 181

Parallel lines have the same slope.

Lines a and b are parallel.

Practice makes perfect

Lines are parallel if their slopes are identical. Let's recall the slope-intercept form of a line. y= mx+b We can identify the slope of a line as the value of m. Let's write each equation in slope-intercept form and highlight their slopes.

Line Given Equation Slope-Intercept Form Slope
a 3y-x=6 y=1/3x+2 1/3
b 3y=x+18 y=1/3x+6 1/3
c 3y-2x=9 y=2/3x+3 2/3

Now that we have identified the slope of each line, we can see that a and b have the same slope, so we know that they are parallel.