Graphing Linear Equations in Point Slope Form

This video tutorial explains how to graph point-slope equations. It begins with an introduction to the general formula and how to identify the starting point and slope. The video provides two examples: one with a negative slope and another with a positive slope, demonstrating how to plot points and draw lines on a graph. Finally, a practice problem is presented for students to try on their own.

What is the general formula for point-slope equations?

• Y - y1 = m(X - x1)

• Y = mx + b

• Ax + By = C

• Y = mX + c

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CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

In the equation Y - y1 = m(X - x1), what do x1 and y1 represent?

• The x-intercept

• The slope of the line

• The y-intercept

• A point on the line

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CCSS.HSS.ID.C.7

Given the equation y - 3 = -1/2(x - 5), what is the value of x1?

• 3

• 5

• -1/2

• 0

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CCSS.HSA.REI.B.3

For the equation y - 3 = -1/2(x - 5), what is the slope?

• 1/2

• 3

• 5

• -1/2

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CCSS.HSS.ID.C.7

In the equation y + 2 = 4(x - 1), what is the value of y1?

• 2

• -2

• 1

• 4

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CCSS.HSA.REI.B.3

What is the slope in the equation y + 2 = 4(x - 1)?

• -4

• 4

• 2

• 1

Tags

CCSS.HSS.ID.C.7

How do you rewrite the slope 4 in the equation y + 2 = 4(x - 1) to use it for graphing?

• 4/1

• 1/-4

• 1/4

• -4/1

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CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSS.ID.C.7

In the equation y - 5 = 2/3(x + 6), what is the value of x1?

• 5

• -5

• 6

• -6

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CCSS.HSA.REI.B.3

For the equation y - 5 = 2/3(x + 6), what is the slope?

• 3/2

• 2/3

• -2/3

• -3/2

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CCSS.HSS.ID.C.7

What is the first step in graphing a point-slope equation?

• Identify the slope

• Locate the point (x1, y1)

• Draw the x and y axes

• Find the y-intercept

Tags

CCSS.HSA.CED.A.2