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Pearson Algebra 1 Common Core, 2011 View details

1. Solving Systems by Graphing

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Exercise 52 Page 369

What do parallel lines have in common?

-2/3

Practice makes perfect

Consider the given equation of a line. 3y+2x=7 To help us identify the slope of this line, let's first convert it into slope-intercept form, y= mx+ b, where m is the slope and (0, b) is the y-intercept.

3y+2x=7

SubEqn

LHS-2x=RHS-2x

3y=- 2x+7

DivEqn

.LHS /3.=.RHS /3.

y=- 2/3x+7/3

MoveNegNumToFrac

Put minus sign in front of fraction

y=-2/3x+7/3

When lines are parallel, they have the same slope. Because of this, we know that all lines that are parallel to the line whose equation is given will have a slope of - 23.