Slope-Intercept Form

What does the "m" represent in the slope-intercept form y=mx+b

• Y-intercept

• Slope

• X-intercept

• Y-value

What does the "b" represent in slope-intercept form (y=mx+b)

• Y-intercept

• Slope

• X-intercept

• Y-value

Identify the slope and the y-intercept for the following linear equation in slope-intercept form.

y = -4x + 5

• Slope = 4, y-intercept = -4

• Slope = 5, y-intercept = -4

• Slope = -4, y-intercept = 5

• Slope = 4, y-intercept = -5

Answer explanation

Remember, slope-intercept form is y=mx+b, where m=slope, and b=y-intercept. So, the first number will be the slope, and the last number the y-intercept

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSA.CED.A.2

A line has a y-intercept of −11 and slope of 0.25. Write its equation in slope-intercept form.

• y = -11x + 0.25

• y = -0.25x + 11

• y = 0.25x - 11

• y = 11x -0.25

Answer explanation

Remember, the y-intercept will replace b and the slope will replace m in the formula y=mx+b.

Tags

CCSS.HSA.CED.A.1

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

Write the following equation from standard form (Ax+By=C) into slope-intercept form (y=mx+b).

4x + y = 7

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

What would be the slope and the y-intercept for for the following equation?

y = -4x + 7

• Slope = 7, y-intercept = -4

• Slope = -4, y-intercept = 7

• Slope = 4, y-intercept = -7

• Slope = 4, y-intercept = 7

Answer explanation

Remember, when an equation is in slope-intercept form, the first number will be the slope, and the last number will be the y-intercept

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSA.REI.D.10

CCSS.HSS.ID.C.7

Convert the following equation from standard form (Ax+By=C) into slope-intercept form.

2x - 3y = 9

Answer explanation

Remember, to convert from standard form into slope-intercept form we will:

1. Move the x term to the other side (and combine with other x's if possible)
2. Divide everything by the number in front of y

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

What would be the slope and the y-intercept for for the following equation?

y = 2/3x - 3

• Slope = 3, y-intercept = 2/3

• Slope = -3, y-intercept = -2/3

• Slope = 2/3, y-intercept = -3

• Slope = -2/3, y-intercept = 3

Answer explanation

Remember, when an equation is in slope-intercept form, the first number will be the slope, and the last number will be the y-intercept

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSA.REI.D.10

CCSS.HSS.ID.C.7

Write the following equation in slope-intercept form.

3x + 2y = 2x + 8

Answer explanation

Remember, to convert from standard form into slope-intercept form we will:

1. Move the x term to the other side (and combine with other x's if possible)
2. Divide everything by the number in front of y

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Which of the following graphs would match the linear equation below:

y = -3x + 4

• 
• 
• 
• 

Answer explanation

In order to graph a slope-intercept equation, we will:

1. Start at the y-intercept (b)
2. Use the slope to find the next point by doing Rise/Run

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11