WRITE LINEAR EQUATIONS IN POINT-SLOPE FORM

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WRITE LINEAR EQUATIONS IN POINT-SLOPE FORM. December 4, 2013 Pages 302-305. Checking 5.2. 4. 6. 8. or 9.5 12. 14. 16. or. Checking 5.2. 24. 26. 28. 55. -4 56. 1 in. Write the number correct out of 11. Given a point and the slope. Step 1: Plot point

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### WRITE LINEAR EQUATIONS IN POINT-SLOPE FORM

December 4, 2013

Pages 302-305

Checking 5.2

4.

6.

8. or 9.5

12.

14.

16. or

Checking 5.2

24.

26.

28.

55. -4

56. 1in.

Write the number correct out of 11.

Given a point and the slope.

Step 1: Plot point

Step 2: Use the slope to move from point to another point.

Step 3: Draw the line connecting the two points.

*Moving points with slope:

up or down, then move right

1. Write an equation in point-slope form of the line that passes through the point (4, –3) and has a slope of 2.

Write point-slope form.

y – y1 = m (x – x1)

y + 3 = 2 (x – 4)

Substitute2form,4 for x1, and–3 fory1.

2. Write an equation in point-slope form of the line that passes through the point (– 1, 4) and has a slope of –2 .

y – y1 = m (x – x1)

Write point-slope form.

y – 4 = –2 (x +1)

Substitute –2 for m,4 fory, and –1 forx.

2

SOLUTION

3

y+2 = (x – 3).

Because the equation is in point-slope form, you know that the line has a slope of and passes through the point (3, –2).

2

3

3. Graph the equation.

Plot the point (3, – 2). Find a second

point on the line using the slope.

Draw a line through both points.

4. Graph the equation.

y–1 = (x – 2)

SOLUTION

Because the equation is in point-slope form, you know that the line has a slope of –1 and passes through the point (2, 1).

Plot the point (2, 1). Find a second point on the line using the slope. Draw a line through both points.

3 –1

y1 – y2

2

=

=

m

=

=

– 1

– 1 –1

x1 – x2

– 2

SOLUTION

STEP1

Find the slope of the line.

STEP 2

Write the equation in point-slope form. You can us either given point.

Method 1

Method 2

Use (– 1, 3).

Use (1, 1).

y – y1 = m(x – x1)

y – y1 = m(x – x1)

y –3 =– (x +1)

y –1 =– (x – 1)

CHECK

Check that the equations are equivalent by writing them in slope-intercept form.

y – 3 = –x – 1

y – 1 = –x + 1

y = –x + 2

y = –x + 2

6. Write an equation in point-slope form of the line that passes through the points (2, 3) and (4, 4).

1

=

2

4 –3

y2 – y1

=

=

m

4 –2

x2 – x4

STEP1

Find the slope of the line.

1

1

2

2

y –3 =(x – 2)

y –4 = (x – 4)

STEP 2

Write the equation in point-slope form. You can us either given point.

Method 1

Method 2

Use (2, 3)

Use (4, 4)

y – y1 = m(x – x1)

y – y1 = m(x – x1)

HOMEWORK

Worksheet P 5.3