Forms & Slope of Linear Equations, A.3A

Slope-Intercept: y = mx+b

• Used for graphing linear equations

• Need a slope (m) and y-intercept (b)

m = 3/5, this is our slope

b = 7, this our y - intercept

Multiple Choice

If m = 3 and b = 6, what is the correct slope intercept equation?

• y=3-6

• y=3x-6

• y=3x+6

• y=6x+3

Multiple Choice

y = 2x + 4; find the slope 

• -2

• 2

• 1/2

• 4

Multiple Choice

y= -7 + 5x; find the slope 

• -7

• 5

• 2

• 0

Multiple Choice

y= -x; find the slope

• 0

• 1

• -1

• undefined

Point-Slope Form: y - y₁ = m(x - x₁)

• Useful when you are given a point (x₁, y₁) and slope (m)

• Plug in the opposite values of points into formula.

Multiple Choice

What is the slope of the equation y - 2 = -6(x + 6)

• 2

• 6

• -2

• -6

Multiple Choice

Given m = 3 and (-2 , 5) write the equation in point-slope form.

• y + 5 = 3(x - 2)

• y - 5 = 3(x + 2)

Multiple Choice

$$What\ is\ the\ slope\ of\ the\ following\ equation\ y\ =\ -7x\ +\ 5?$$  

• -7

• 5

Multiple Choice

What is the equation of the line in point slope form given a slope of ⅔ and the point (-4, 7)

• y - ⅔ = -4(x - 7)

• y +7 = ⅔(x - 4)

• y - 7 = ⅔(x + 4)

• y +7 = ⅔(x - 4)

Multiple Choice

What is the equation of the line in point slope form given a slope of -12 and a point of (-4, -5)?

• y - 5 = -12(x - 4)

• y + 4 = -12(x + 5)

• y + 5 = -12(x + 4)

• y - 12 = -4(x + 5)

Standard Form: Ax + By = C

• Form is useful to convert to a different form.

• A, B, and C are all whole numbers.

• A is called the "leading coefficient."

• A cannot be a negative number.

Multiple Choice

Convert the following standard form equation to slope-intercept (y = mx + b).

• 2y = -6x + 24

• y = -3x + 12

Multiple Choice

Write in slope intercept form: 2x + y = 2

• y = -2x

• y= 2x + 2

• y= -2x + 2

• x = -2x + 2

Multiple Choice

What is the slope of the line with the equation. (Hint: put in slope-intercept form)
 -5x + y = 11?

• -5

• 11

• 5

• -11/5

Multiple Choice

Find the slope of the following equation. (Hint: put in slope-intercept form)
3x - 6y = 12

• 3

• -3

• -1/2

• 1/2

Multiple Choice

Which of these represents Slope-Intercept form?

• y - y₁ = m(x-x₁)

• Ax + By = C

• y = mx + b

• m=y₂-y₁/x₂-x₁

Multiple Choice

What is the equation for standard form?

• y=mx+b

• y-y₁=m(x-x₁)

• Ax+By=C

• rise÷run

Multiple Choice

What is the equation for Point-Slope form?

• y=mx+b

• y-y₁=m(x-x₁)

• Ax+By=C

• rise÷run

Multiple Choice

What letter represents Slope?

• m

• b

• x

• y

Poll

Are you Clear or Cloudy for this lesson?

• Clear. I could teach this lesson to others.

• Cloudy. I can re-do this lesson.