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Warm Up! – Graph the line that satisfies each condition

Warm Up! – Graph the line that satisfies each condition. 1) Slope = -4, passes 2) Contains A(-1, -3), parallel 3) Contains M(4, 1), passes through to line CD with C(-1, 6) and to line GH with G(0, 3) P (-2, 1) D(4, 1) and H(-3, 0).

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Warm Up! – Graph the line that satisfies each condition

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  1. Warm Up! – Graph the line that satisfies each condition 1) Slope = -4, passes 2) Contains A(-1, -3), parallel 3) Contains M(4, 1), passes through to line CD with C(-1, 6) and to line GH with G(0, 3) P (-2, 1) D(4, 1) and H(-3, 0) Slope of line CD is -1, so Slope of line GH is -1, so slope of || line is also -1. slope of line is 1.

  2. Equations of Lines Section 3-4

  3. Writing Equations of Lines • Remember from Algebra that an equation of a line can be written given any of the following: • The slope and y-intercept (slope-intercept form) • The slope and the coordinates of a point on the line (point-slope form) or, • The coordinates of two points on the line

  4. Example 1 – Writing an equation of a line given slope and the y-intercept “Write an equation in slope-intercept form of the line with slope of -3 and y-intercept of 2.” y = mx + b y = -3x + 2

  5. Example 2 – Writing an equation of a line given slope and a point on the line. “Write an equation in point-slope form of the line with slope of ½ that contains (1, -4).” y – y1 = m(x – x1) y + 4 = ½ (x – 1)

  6. Example 3 – Writing an equation of a line given two points on the line. “Write an equation of the line that passes through (-1, 0) and (1, 2).” y – y1 = m(x – x1) y – 0 = 1(x - -1) y = x + 1

  7. Try these examples on your own 1.) Write the equation of the line in slope-intercept form that has a slope of ½ and y-intercept of -4. 2.) Write the equation of the line in point-slope form that has a slope of -2 and passes through point (3, -4). 3.) Write the equation of the line AB in slope-intercept form where A(-4, 0) and B(2, -3).

  8. Example 4 – Writing Equations of Parallel Lines “Write the equation of the line that passes through (1, 3) and is parallel to the line y = -2x + 3” y – y1 = m(x – x1) y = -2x + 5 Answer left in slope-intercept form

  9. Example 5 – Writing Equations of Perpendicular Lines “Write the equation of the line that passes through (-4, 2) and is perpendicular to the line y = ¼x + 3” y – y1 = m(x – x1) y = -4x - 14 Answer left in slope-intercept form

  10. Try these examples on your own 1.) Write an equation of the line that passes through K(5, 0) and is parallel to line AB where A(0, 2) and B(-4, 3). 2.) Write an equation of the line that passes through Z(-1, -3) and is perpendicular to line CD where C(1, 2) and D(4, 0).

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