Writing Equations of Lines from Slope and y-Intercept

This video tutorial explains how to write the equation of a line using the slope-intercept form. It provides examples with different slopes and y-intercepts, including positive and negative slopes, and demonstrates how to derive the equation from a graph. The tutorial concludes with a final example, reinforcing the concepts of slope and y-intercept in forming linear equations.

What is the slope-intercept form of a line?

• x = by + m

• x = my + b

• y = bx + m

• y = mx + b

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

In the equation y = mx + b, what does 'm' represent?

• Constant

• X-intercept

• Slope

• Y-intercept

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Given a slope of 4 and a y-intercept of 3, what is the equation of the line?

• y = 3x - 4

• y = 4x - 3

• y = 4x + 3

• y = 3x + 4

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

If the slope is -2 and the y-intercept is -1, what is the equation of the line?

• y = -2x - 1

• y = -1x - 2

• y = 2x + 1

• y = -2x + 1

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSS.ID.C.7

What two pieces of information are needed to write the equation of a line?

• Slope and x-intercept

• Y-intercept and x-intercept

• Slope and y-intercept

• Slope and a point on the line

If a line crosses the y-axis at 2, what is the y-intercept?

• (2, 0)

• (0, 2)

• (2, 2)

• (0, -2)

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Given a slope of 1 and a y-intercept of 2, what is the equation of the line?

• y = x - 2

• y = 2x - 1

• y = 2x + 1

• y = x + 2

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.2

CCSS.HSS.ID.C.7

If a line crosses the y-axis at -5, what is the y-intercept?

• (0, -5)

• (-5, 0)

• (0, 5)

• (5, 0)

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Given a slope of 1/2 and a y-intercept of -5, what is the equation of the line?

• y = 1/2x - 5

• y = -1/2x + 5

• y = 2x - 5

• y = -2x + 5

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

How do you simplify the equation y = 1x + 2?

• y = x - 2

• y = x + 2

• y = 1x + 2

• y = 2x + 1

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2