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. Page 1 of 13 Writing equations in point-slope form - Set 1 3. Page 2 of 13 Writing equations in point-slope form - Set 1 4. Page 3 of 13 Writing equations in point-slope form - Set 1 5. Page 4 of 13 Writing equations in point-slope form - Set 1 Now, try to work through the next problems step by step. Page 5 of 13 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) Page 6 of 13 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. Page 7 of 13 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 Page 8 of 13 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 Page 9 of 13 Writing equations in point-slope form - Set 1 Now, work these practice problems on your own. Page 10 of 13 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) Page 11 of 13 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 Page 12 of 13 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 Page 13 of 13

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