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

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CCSS.HSA.REI.D.10

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

• Constant

• X-intercept

• Slope

• Y-intercept

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CCSS.HSF.LE.B.5

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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

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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

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CCSS.HSA.CED.A.2

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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)

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CCSS.HSA.REI.D.10

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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

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CCSS.HSA.CED.A.2

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

• (0, -5)

• (-5, 0)

• (0, 5)

• (5, 0)

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CCSS.HSA.REI.D.10

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

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CCSS.HSA.CED.A.2

CCSS.HSS.ID.C.7

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

• y = x - 2

• y = x + 2

• y = 1x + 2

• y = 2x + 1

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