Graph the Line Described by Each Equation

Name______Date______Class______

Point-Slope Form

Write an equation in POINT-SLOPE form for the line with the given slope that contains the given point.

1.slope  3; (4, 2)2.slope  1; (6, 1)

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Graph the line described by each equation.

3.y + 2  (x  6)4.y + 3   2 (x  4)

Write the equation that describes the line in slope-intercept form.

5.slope  4; (1, 3) is on the line6.slope  (8, 5) is on the line

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7.(2, 1) and (0, 7) are on the line8.(6, 6) and (2, 2) are on the line

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Find the intercepts of the line that contains each pair of points.

9.(1, 4) and (6, 10) ______10.(3, 4) and (6, 16) ______

11.The cost of internet access at a cafe is a function of time.
The costs for 8, 25, and 40 minutes are shown. Write an equation
in slope-intercept form that represents the function. Then find the
cost of surfing the web at the cafe for one hour.

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Write the equation that describes each line in SLOPE-INTERCEPT form.

12. slope  y-intercept  113.slope  3, (3, 4) is on the line.

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14.slope  0; y-intercept  815.slope  (7, 8) is on the line.

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16.The line that passes through (1, 5) and
(4, 4). (Hint: Find the slope first.) ______

Write each equation in SLOPE-INTERCEPT form. Then graph the line described by the equation.

17.y  2  3x18.x  y  219.2y  3x  4

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20.The Johnsons are putting new carpet in their home.
Installation is $300 and the carpeting costs $4 per
square foot. The total price of the job as a function of
area is shown in the graph.

a.Write an equation that represents the total price as

a function of area. ______

b.Identify the slope and y-intercept and describe their

meanings. ______

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c.Find the total cost if the area is 375 square feet.

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Practice B

Point-Slope Form

Write an equation in point-slope form for the line with the given slope that contains the given point.

1.slope  3; (4, 2)2.slope  1; (6, 1)

y – 2  3(x  4)y  1  –(x – 6)

Graph the line described by each equation.

3.y + 2  (x  6)4.y + 3   2 (x  4)

Write the equation that describes the line in slope-intercept form.

5.slope  4; (1, 3) is on the line6.slope  (8, 5) is on the line

y  –4x  1y  x – 1

7.(2, 1) and (0, 7) are on the line8.(6, 6) and (2, 2) are on the line

y  4x – 7y  x – 3

Find the intercepts of the line that contains each pair of points.

9.(1, 4) and (6, 10) x-int: 1, y-int: –210.(3, 4) and (6, 16) x-int:6, y-int: 8

y  0.17x  3; $13.20

Holt McDougal Algebra 2