MATH 1050 HOMEWORK SET #12, Section 3.5 Concepts and definitions: y2 y1 x2 x1 I. The slope formula: m II. Slope - Intercept form of a line: y mx b . III. Point - Slope form of a line: y y1 m( x x1 ) . Exercises: 1. Find the Point-Slope equation of the line containing the point ( 2 , 5 ) and having slope 4. Then convert the equation to Slope - Intercept form. 2. Find an equation of the line with x intercept of 11 and passes the point ( 2, 5 ). 3. Find an equation of the line passing the point ( 3, 7 ) and ( 3, 4). Sketch the graph of the line. 4. Sketch the graph of the line y 500 30( x 50) . MATH 1050 HOMEWORK SET #13, Section 3.6, 3.7 Concepts and definitions: I. Parallel lines: same slope . II. Perpendicular lines: m1m2 1 . Exercises: 1. Are the lines y 3x 4 and 50 45 x 30 y 11 parallel, perpendicular, or neither? Justify your 2 answer. 2. Are the lines 4 3y x and x 3 y 1 parallel, perpendicular, or neither? Justify your answer. 1 3. Find an equation of the line passing the point ( 1, 2 ) and is parallel to the line y x . Sketch the 2 graph of the lines. 4. Find an equation of the line perpendicular to the line y Sketch the graph of the lines. 5 3 x and contains the point ( 10, 8 ) . 2 14 5. Determine whether the point (5, 1) satisfy the linear inequality: 3 + 5 11 6. Determine whether the point (3/4, 4/3) satisfy the linear inequality: 4 3 1