Slope and Systems

Systems Intervention

Work on the following problems to further gauge your understanding of Systems of Equations.

Slope Intercept Form

 $y=mx+b$  

• The number by itself represents (b) or the y-intercept.

• The number next to represents (m) or the slope.

• Make sure the equation is solve for y before determining the slope (m) and y-intercept (b).

Multiple Choice

Based on the equation, what is the slope (m)?

$$y=\frac{3}{4}x+10$$  

• $$4$$  

• $$3$$  

• $$10$$  

• $$\frac{3}{4}$$  

Multiple Choice

Based on the equation, what is the slope (m)?

$$y=-6$$  

• -6

• 0

• 1

• 6

Multiple Choice

Based on the equation, what is the slope (m)?

$$x=2$$  

• 2

• -2

• 0

• Undefined

Multiple Choice

Based on the equation, what is the slope (m)?

$$12x\ +4y\ =\ -60$$  

• -12

• 4

• -3

• 12

Multiple Choice

Based on the equation, what is the slope (m)?

$$10x-4y=-12$$  

• $$-\frac{5}{2}$$  
  

• $$-\frac{10}{4}$$  

• $$\frac{5}{2}$$  

• $$3$$  
  

One solution to a systems of equation problem is intersecting.

• Look at the the next few slides and determine which graph or graphs are intersecting.

• There may be more than one correct answer for each slide.

Multiple Select

Which graph or graphs shows a solution of intersecting?

Multiple Select

Which graph or graphs shows a solution of intersecting?

One solution to a systems of equation problem is No Solution.

• Look at the the next few slides and determine which graph or graphs are NO SOLUTION.

• There may be more than correct answer for each slide.

Multiple Select

Which graph or graphs shows a solution of NO SOLUTION?

Multiple Select

Which graph or graphs shows a solution of NO SOLUTION?

Sometimes equations are not in slope intercept form.

Take the following equations and put them into slope intercept form.

-Solve for y-

Multiple Choice

Put the following problem in slope intercept form.

$$6x+3y=0$$  

• $$y=\frac{1}{2}x$$  

• $$y=2x$$  

• $$y=-\frac{1}{2}x$$  

• $$y=-2x$$  

Multiple Choice

$$8x-5y=-10$$  Put the following problem in slope intercept form.

• $$y=-\frac{8}{5}x+2$$  

• $$y=\frac{8}{5}x+2$$  

• $$y=\frac{8}{5}x+10$$  

• $$y=-\frac{8}{5}x-2$$  

Multiple Choice

Put the following problem in slope intercept form.

$$y+3=-2\left(x-2\right)$$  

• $$y=-2x+1$$  

• $$y=-2x-7$$   

• $$y=2x+1$$  
  

• $$y=2x+7$$   

Fill in the Blank

When you have to lines that do not intersect, the solution to the problem is?

Fill in the Blank

When you have 2 lines that lie directly on top of one another, the solution is?

Poll

What would you like more help with? Select all that apply

• Graphing equations in slope intercept form

• Plotting Points

• Solving equations for y

• Understanding what solutions are possible in this unit

• Graphing equations NOT in slope intercept form