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# Writing Equations Of Lines

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• write an equation of a line whose slope is m=-3 and whose y-intercept is b=7

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• write an equation of a line whose slope is m=-3 and whose y-intercept is b=7

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### Writing Equations Of Lines

1. 1. Writing Equations of Lines
2. 2. Do Now: Answer each of the following questions based on the graph <ul><li>What is the slope of the line? </li></ul><ul><li>What is the y-intercept? </li></ul><ul><li>3. What is the equation of the line? </li></ul>
3. 3. How do we write equations of lines? <ul><li>Determine the slope </li></ul><ul><li>Determine the y-intercept </li></ul><ul><li>Sub slope ( m ) and y-intercept ( b ) into </li></ul><ul><li>y = mx + b </li></ul>
4. 4. Practice: <ul><li>What is the slope of the line? </li></ul><ul><li>What is the y-intercept? </li></ul><ul><li>3. What is the equation of the line? </li></ul>
5. 5. Practice: <ul><li>What is the slope of the line? </li></ul><ul><li>What is the y-intercept? </li></ul><ul><li>3. What is the equation of the line? </li></ul>
6. 6. How do we write equations of lines without the graph? <ul><li>1. Example: Write an equation of the line whose slope is 3 and passes through the point (1,4). </li></ul><ul><li>What is slope (m ) ? </li></ul><ul><li>To find y-intercept: </li></ul><ul><li>a. Sub m, x and y into y=mx +b </li></ul><ul><ul><li>b. Solve for b </li></ul></ul><ul><li>3. Sub m and b into y=mx +b </li></ul>
7. 7. Practice <ul><li>2 . Example: Write an equation of the line whose slope is - 2 and passes through the point (2,-3). </li></ul><ul><li>What is slope (m ) ? </li></ul><ul><li>To find y-intercept: </li></ul><ul><li>a. Sub m, x and y into y=mx +b </li></ul><ul><ul><li>b. Solve for b </li></ul></ul><ul><li>3. Sub m and b into y=mx +b </li></ul>
8. 8. How do we write equations of lines without the graph? <ul><li>3. Example: Write an equation of the line that passes through the points (2,6) and (-2,10). </li></ul><ul><li>Find slope (m ) using slope formula </li></ul><ul><li>To find y-intercept, pick one of the points given: </li></ul><ul><li>a. Sub m, x and y into y=mx +b </li></ul><ul><ul><li>b. Solve for b </li></ul></ul><ul><li>3. Sub m and b into y=mx +b </li></ul>
9. 9. Practice: <ul><li>4. Example: Write an equation of the line that passes through the points (-1,-2) and (2,10). </li></ul><ul><li>Find slope (m ) using slope formula </li></ul><ul><li>To find y-intercept, pick one of the points given: </li></ul><ul><li>a. Sub m, x and y into y=mx +b </li></ul><ul><ul><li>b. Solve for b </li></ul></ul><ul><li>3. Sub m and b into y=mx +b </li></ul>
10. 10. How do we write equations of lines without the graph? <ul><li>5. Write the equation of a line whose slope is - 3 and </li></ul><ul><li>y-intercept is 1. </li></ul><ul><li>Find slope ( m ) </li></ul><ul><li>Find y-intercept ( b ) </li></ul><ul><li>Substitute into y=mx+b </li></ul>
11. 11. Practice <ul><li>6 . Write the equation of a line whose slope is 1/2 and </li></ul><ul><li>y-intercept is -3. </li></ul><ul><li>Find slope ( m ) </li></ul><ul><li>Find y-intercept ( b ) </li></ul><ul><li>Substitute into y=mx+b </li></ul>
12. 12. Practice <ul><li>7. What is the equation of the line that is parallel to y - 2x = 4 and whose y-intercept is –1? </li></ul><ul><li>Find slope ( m ) </li></ul><ul><li>Find y-intercept ( b ) </li></ul><ul><li>Substitute into y=mx+b </li></ul>
13. 13. Practice <ul><li>8. What is the equation of the line that is parallel to y + 3x = 2 and whose y-intercept is 4? </li></ul><ul><li>Find slope ( m ) </li></ul><ul><li>Find y-intercept ( b ) </li></ul><ul><li>Substitute into y=mx+b </li></ul>
14. 14. Practice <ul><li>9. Write an equation of the line that is perpendicular to </li></ul><ul><li>y = 2x + 4 and whose </li></ul><ul><li>y-intercept is 2? </li></ul><ul><li>Find slope ( m ) </li></ul><ul><li>Find y-intercept ( b ) </li></ul><ul><li>Substitute into y=mx+b </li></ul>
15. 15. Practice <ul><li>10.Write an equation of the line that is perpendicular to </li></ul><ul><li>y = ½ x - 2 and whose </li></ul><ul><li>y-intercept is 1? </li></ul><ul><li>Find slope ( m ) </li></ul><ul><li>Find y-intercept ( b ) </li></ul><ul><li>Substitute into y=mx+b </li></ul>