General Knowledge
Slope Intercept Form
Point Slope Form
Standard Form
Equations
100

True or false, this a linear equation.

y+x-1=0

True

100

What is the equation for Slope Intercept Form?

y=mx+b

100

What equation is used for Point Slope form?

y - y₁ = m(x - x₁)

100

What equation is used for Standard (or general) Form.

Ax+By=C

100

Turn this equation into point slope form 

y=-2x+4

y-4=-2(x-0) or simplified y-4=2x

200

Which of the following is NOT a linear equation?

  • y + x – 1 = 0
  • x = 6 – 3y
  • x = 5
  • y2 = x + 1
  • y2 = x + 1
200

In Slope Intercept Form what does the M represent?

The Slope

200

In Point Slope Form what does y1 and x1 represent?

Y coordinate and X coordinate (or a point on the line).
200

In general form which integer has to be greater than or equal to 0?

A

200

Turn this equation into slope intercept form

y-3 = 2(x+4)

  • Distribute the 2 which get us y-3 = 2x+8
  • Add 3 to both sides to solve for y which gives us y = 2x + 11.

y = 2x + 11

300

What is slope?

Rise / Run (Or the rate of change of a line)

300

In the Slope Intercept From what does the B represent?

The Y intercept.

300

In Point Slope form what variable represents the slope?

M

300

In general form A, B, and C can have no common factors other than what?

1

300

Turn this equation into General Form y – 3 = 2(x+4)

  • Distribute the 2 so we get y – 3 = 2x+8
  • Add 3 to both sides to isolate y so we get y = 2x + 11
  • Now we need to subtract 2x and 11 to get all the terms on one side so we get -2x +y – 11 = 0
  • Optional Multiply by -1 to flip the signs, 2x – y + 11 = 0.
400

What do X and Y intercepts mean?

Those are the point where a line crosses the X and Y axis. 

400

In the equation y = 4x -3 what is 4

The Slope

400

In the equation y - 3 = 2(x + 4) what point does the line pass through?

-4,3

400

Simplify this equation.

10x - 20y = 40

x-2y=4

400

Turn this equation into slope intercept form 3x + 4y – 12 = 0

  • Subtract 3x and add 12 to get y by itself, so we get 4y = -3x + 12
  • Divide by 4 to get y by itself so we get y = -3/4 + 3 which is our slope intercept form.
500

Which form cannot be directly simplified into point slope form?

General Form

500

What is the following equation written in Slope Intercept Form?

13x + 10y = 9          

y = -13x/10 + 9/10

500

Use the following to write an equation in point slope form 3,4 and a slope of 2  

y - 4 = 2(x - 3)

500

Simplify this equation so it satisfies the requirements of general form. -2x+4y=16  

A, B, and C are integers.

A is greater than or equal to zero.

A, B, and C have no common factors other than 1.

-2x+4y=16   

A needs to be greater than 0 so Step 1 Multiply both sides by -1.

2x–4y = –16

Greatest common factor needs to be 1 so Step 2 divide both sides by 2.

x–2y = –8

500

Turn this equation into point slope form. 3x + 2y – 12 = 0

  • First convert to slope intercept form.
  • Subtract 3x and add 12 to get y by itself, so we get 2y = -3x + 12
  • Divide by 2 to get y by itself so we get y = -3/2 + 6 which is our slope intercept form.
  • Now we know the slope (m=-3/2) and the Y intercept (b=6) so our point it 0,6.
  • Now we plug our information into point slope form. y-6 = -3/2 (x-0) or y-6 = -3/2x.
M
e
n
u