### 1. 2. If an equation is given in point

```Writing equations in point-slope form - Set 1
1. 2. If an equation is given in point-slope form, you can write it in either standard form or slopeintercept form.
The standard form of a linear equation is Ax + By = C, where A and B are not both zero.
Usually A is positive and A, B, and C are integers whose greatest common factor is 1.
The slope-intercept form of a linear equation is y = mx + b where m is the slope and b is the yintercept.
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Writing equations in point-slope form - Set 1
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Writing equations in point-slope form - Set 1
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Writing equations in point-slope form - Set 1
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Writing equations in point-slope form - Set 1
Now, try to work through the next problems step by step.
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Writing equations in point-slope form - Set 1
1. Look at this problem.
Write the point-slope form of the line that passes through
(9, -2) with slope -5.
Which variable should 9 be substituted for in the equation
y - y1 = m(x - x1)?
A x1
B x
2. Write the point-slope form of the line that passes through
(9, -2) with slope -5.
Substitute 9 for x1.
Which variable should -2 be substituted for in the equation
y - y1 = m(x - x1)?
A y1
B y
3. Write the point-slope form of the line that passes through
(9, -2) with slope -5.
Substitute 9 for x1.
Substitute -2 for y1.
Which is the equation of the line in point-slope form?
A y - 9 = -5(x + 2)
B y + 2 = -5(x - 9)
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Writing equations in point-slope form - Set 1
4. A Multiply each side by 5.
B Divide each side by 3.
5. A Divide each side by 3.
B Use the Distributive Property to simplify each side.
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Writing equations in point-slope form - Set 1
6. A Subtract 5y from each side and add 24 to each side.
B Subtract 3x from each side and add 24 to each side.
7. A 3x + 5y = 6
B 3x - 5y = 54
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Writing equations in point-slope form - Set 1
8. Look at this problem.
Write y + 1 = 3(x + 5) in slope-intercept form.
What should you do first to write this equation in
slope-intercept form?
A Use the Distributive Property to simplify the right side.
B Divide each side by 3.
9. Write y + 1 = 3(x + 5) in slope-intercept form.
y + 1 = 3(x + 5)
y + 1 = 3x + 15
What should you do next to write the equation
in slope-intercept form?
A Divide each side by 3.
B Subtract 1 from each side.
10. Write y + 1 = 3(x + 5) in slope-intercept form.
y + 1 = 3(x + 5)
y + 1 = 3x + 15
Subtract 1 from each side.
Which is the equation written in slope-intercept form?
A y = 3x + 14
B y = 3x + 16
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Writing equations in point-slope form - Set 1
Now, work these practice problems on your own.
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Writing equations in point-slope form - Set 1
1. A B C D 2. Which is the point-slope form of the line that passes through (-4, -5) with slope -2?
A B C D y - 4 = -2(x - 5)
y + 4 = -2(x + 5)
y - 5 = -2(x - 4)
y + 5 = -2(x + 4)
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Writing equations in point-slope form - Set 1
3. A B C D 4. Which is the point-slope form of the line that passes through (4,-3) with slope 9?
A B C D y + 4 = 9(x - 3)
y - 4 = 9(x + 3)
y + 3 = 9(x - 4)
y - 3 = 9(x + 4)
5. Which is the standard form of y - 1 = -7(x + 4)?
A B C D 7x + y = 5
7x - y = -28
7x - y = 3
7x + y = -27
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Writing equations in point-slope form - Set 1
6. Which is the standard form of y + 3 = -2(x - 5)?
A B C D 2x - y = -2
2x + y = 13
2x - y = -8
2x + y = 7
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