Lesson 35 Writing Equations in Point-Slope Form NCSCOS Obj.: 1.02; 1.03; 4.01 Daily Objectives TLW write equations of a line in point- slope form TLW write.

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Lesson 35 Writing Equations in Point-Slope Form NCSCOS Obj.: 1.02; 1.03; 4.01 Daily Objectives TLW write equations of a line in point- slope form TLW write linear equations in different forms

Example 5-1a Write the point-slope form of an equation for a line that passes through (–2, 0) with slope Point-slope form Simplify. Answer:The equation is

Example 5-1b Write the point-slope form of an equation for a line that passes through (4, –3) with slope –2. Answer:

Example 5-2a Write the point-slope form of an equation for a horizontal line that passes through (0, 5). Point-slope form Simplify. Answer:The equation is

Example 5-2b Write the point-slope form of an equation for a horizontal line that passes through (–3, –4). Answer:

Example 5-3a Writein standard form. In standard form, the variables are on the left side of the equation. A, B, and C are all integers. Original equation Multiply each side by 4 to eliminate the fraction. Distributive Property

Example 5-3b Subtract 3x from each side. Simplify. Answer:The standard form of the equation is

Example 5-3c Writein standard form. Answer:

Example 5-4a Writein slope-intercept form. In slope-intercept form, y is on the left side of the equation. The constant and x are on the right side. Original equationDistributive Property Add 5 to each side.

Example 5-4b Simplify. Answer:The slope-intercept form of the equation is

Example 5-4c Writein slope-intercept form. Answer:

Example 5-5a The figure shows trapezoid ABCD with basesand Write the point-slope form of the lines containing the bases of the trapezoid.

Example 5-5b Step 1First find the slopes of and Slope formula

Example 5-5c Step 2You can use either point for ( x 1, y 1 ) in the point-slope form. Method 1 Use (–2, 3). Method 2 Use (4, 3).

Example 5-5d Method 1 Use (1, –2). Method 2 Use (6, –2). Answer:The point-slope form of the equation containing The point-slope form of the equation containing

Example 5-5e Write each equation in standard form. Original equation Add 3 to each side. Answer: Simplify. Original equation Subtract 2 from each side. Answer: Simplify.

Example 5-5f The figure shows right triangle ABC. a.Write the point-slope form of the line containing the hypotenuse b.Write the equation in standard form. Answer: