Parallel Lines - Algebra 1

When two lines are parallel, which of these statements must be true ?

• The slope is the same for both lines.

• Both lines have the same y-intercept.

• The two lines cross the x-axis at the same point.

• Both lines have the same zero.

Tags

CCSS.HSG.GPE.B.5

Which of these linear equation if graphed would be parallel to the line shown ?

• $y=-2x+1$

• $y=2x+2$

• $y=-4x+2$

• $y=4x-2$

Answer explanation

The slope of the line graphed is -2 and it has to be parallel to the line with slope of -2 which is y=-2x+1 !!

Tags

CCSS.HSA.REI.D.10

CCSS.HSG.GPE.B.5

f(x) and g(x) are both graphed as shown. Which of these describes the relation between the two lines?

• The lines are Parallel.

• The lines are intersecting.

• The lines are perpendicular.

Answer explanation

Parallel means the two lines would never intersect !!

f(x) and part of g(x) is graphed below. f(x) is parallel to g(x). Which of these could be the y-intercept ( b ) for g(x) ?

• 4

• 3

• 1

• 2

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

Which of these linear equation is parallel to the linear graph that has the equation y = x + 2 ?

• $y\ =\ x\ -\ 3$

• $y\ =\ 2x\ +\ 1$

• $y\ =\ \frac{1}{2}x-1$

• $y=1$

Answer explanation

The slope for y = x + 2 is 1 , and y = x - 3 , the slope is 1 as well , so these lines are parallel because they have the same slope!

Tags

CCSS.HSG.CO.A.1

CCSS.HSG.GPE.B.5

Which of these lines is parallel to the line shown below and also passing through the point (2,-1 )?

• $y=2x-5$

• $y=2x-3$

• $y=2x-7$

• $y\ =\ 2x\ -\ 1$

Tags

CCSS.HSG.GPE.B.5

Which of these shows a graph of two parallel lines ?

• 
• 
• 
• 

Answer explanation

Parallel Lines NEVER intersect !!

Tags

CCSS.HSG.CO.A.1

CCSS.HSG.GPE.B.5

A line g has a y-intercept (0,6) and a slope of -2, is parallel to another line f that crosses the y-axis at (0,2) , where would this line crosses the x-axis ?

• (1,0)

• (-1,0)

• (2,0)

• (-2,0)

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.REI.B.3

CCSS.HSA.REI.D.10

A line f has a slope of 3 and a y-intercept (0,4) . which of these equations is parallel to line f ?

•  $y=3x-1$  

•  $y=4x-3$  

•  $y=x+3$  

•  $y=-x+1$  

Answer explanation

Parallel means same slope m = 3 , and y=3x - 1 has a slope of 3 !!

Tags

CCSS.HSG.GPE.B.5

Line m passes through points (-1,4) and (1,10) is parallel to line n that passes through point (0,1) . What is the equation of line n ?

• $y=3x+1$

• $y=x+3$

• $y=3x+6$

• $y=x+6$

Tags

CCSS.HSG.GPE.B.5