Writing Equations Mixed Practice

The equation below contains the point (5, -1)
and has which slope?

 $y+1=-3(x-5)$  

• -1

• 1

• -3

• 5

Write the equation in point-slope form

of the line that passes through the point

(4, -7) and has a slope of -1/4.

• $y+7=-\frac{1}{4}(x-4)$

• $y-4=-\frac{1}{4}(x+7)$
  

• $y+7=4(x-4)$
  

• $y-7=-\frac{1}{4}(x-4)$
  

Write the equation of the line

in Point-Slope form that goes through

the point (10,5) and has a slope of -3

• $y-5=-3(x-10)$

• $y=-3x+35$
  

• $y+5=-3(x+10)$
  

• $y=-3x-35$
  

Given the table, what is the equation of the line in point slope form?

• $y-12=\frac{1}{2}(x-6)$

• $y-4=\frac{1}{2}(x-8)$
  

• $y+2=\frac{1}{2}(x+4)$
  

• $y+6=\frac{1}{2}(x+12)$
  

Given the graph, what is the equation of the line in point slope form?

• $y-20=\frac{1}{2}(x-4)$

• $y-20=5(x-4)$
  

• $y+20=5(x+4)$
  

• $y-20=1(x-4)$
  

Which equation represents the line through the points (-4,2) and (7,5).

•  $y-2=\frac{3}{11}\left(x+4\right)$  

•  $y-5=\frac{11}{3}\left(x+7\right)$  

•  $y+2=\frac{3}{11}\left(x-4\right)$  

•  $y-2=\frac{-3}{11}\left(x+4\right)$  

Which transformation will occur if f(x) = x is replaced with f(x) + 2?

• Translation left 2 units
• Translation right 2 units
• Vertical translation up by 2 units.
• Reflection across the x-axis.

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.

• Graph g is reflected and steeper by a factor of 3

• Graph g is steeper by a factor of 3

• Graph g reflected and less steep by a factor of 1/3

• Graph g less steep by a factor of 1/3

Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.

• Graph g is less steep by a factor of 1/5

• Graph g shifted down 1 unit

• Graph g is steeper by a factor of 1/5

• Graph g shifted up 2 units

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.

• Graph g shifted down 3 units

• Graph g shifted down 4 units

• Graph g shifted up 4 units

• Graph g reflected

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2