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Pearson Algebra 1 Common Core, 2011 View details

1. Solving Systems by Graphing

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Exercise 53 Page 369

What do parallel lines have in common?

3/5

Practice makes perfect

Consider the given equation of a line. 3x=5y+10 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.

3x=5y+10

SubEqn

LHS-10=RHS-10

3x-10=5y

DivEqn

.LHS /5.=.RHS /5.

3/5x-2=y

RearrangeEqn

Rearrange equation

y=3/5x-2

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 35.