Algebra Supplment Part 3 FINITE MATH Name___________________________________ Find the intercepts for the equation. 9) -5x + 5y = 10 Find the coordinates of the labeled points. 1) C 7 6 5 4 3 2 1 y 10) -3x - 3y = 9 Make the most appropriate graph to match the situation. 11) Joe runs until he reaches the shore of a lake. He then rows a boat to the other side of the lake. He runs faster than he can row a boat. 1 2 3 4 5 6 7 x -7 -6 -5 -4 -3 -2 -1-1 -2 -3 -4 -5 -6 -7 Distance D 2) 7 6 5 4 3 2 1 y A Time -7 -6 -5 -4 -3 -2 -1-1 1 2 3 4 5 6 7 x -2 B -3 -4 -5 -6 -7 12) In the morning Brenda drives away from home at a steady speed. She stops for breakfast. She then continues to drive at a steady but faster speed. Distance Determine the quadrant in which the point is located. 3) (-9, 18) 4) (6, -19) Identify the quadrant with the given condition. 5) The first coordinate is positive. Time 6) The coordinates have the same sign. Decide whether or not the ordered pair is a solution to the equation. 7) x - y = 4; (2, 7) 8) 2x + 3y = 25; (5, 5) 1 Use the graph to solve the problem. 13) Find the rate of change of Simoneʹs salary. Solve the problem. 17) Over one particular stretch of road, the Whitepoint Highway rises 450 ft over a horizontal distance of 3700 ft. Find the grade of the road. 18) An old house has a basement stairway that has steps with 7.25 inch risers and 7 inch treads. What is the slope of the stairway? Find the slope and the y -intercept of the line. 15 19) y = x - 5 4 A) $4000 per year C) $2000 per year 20) y - 8 = 3 B) $3000 per year D) $300 per year For the point-slope equation given, state the slope and the point on the graph used in creating the equation. 21) y - 1 = 4(x - 7) 14) Find the rate of change of the temperature of the water being heated. 22) y - 5 = 2(x + 7) 80 75 Draw a line that has the given slope and y-intercept. 1 23) Slope ; y-intercept (0, 4) 3 70 65 y 10 60 -1 1 2 3 4 5 6 7 5 Minutes since heating started A) 2 degrees per minute B) 1 degree per minute C) 2.5 degrees per minute D) 5 degrees per minute -10 -10 16) (5, 5) and (10, -2) C) 7 5 B) 0 D) - 5 -5 Find the slope of the line containing the given pair of points. If the slope is undefined, state so. 15) (2, 2) and (8, 11) 2 3 1 A) 2 B) C) D) 3 2 2 A) Undefined -5 7 5 2 10 x 1 24) Slope - ; y-intercept (0, 4) 6 Graph the line. 1 27) y - 1 = - (x - 4) 4 y -10 y 10 10 5 5 -5 5 10 x -10 -5 -5 -5 -10 -10 5 10 x 5 10 x 5 10 x 28) y + 3 = 4(x + 3) Graph the linear equation. 25) -3x + 21y = -27 y 10 y 10 5 5 -10 -10 -5 5 10 -5 x -5 -5 -10 -10 Graph the equation. 29) x + y = 1 3 26) y = - x - 3 4 y 10 y 10 5 5 -10 -10 -5 5 10 x -5 -5 -5 -10 -10 3 30) y = x - 3 Write an equation in slope-intercept form of the line satisfying the given conditions. 34) Parallel to 7x + 2y = 10 and the same y-intercept as 8x - 4y = 3. y 10 5 35) Through (-8, 4), perpendicular to 9x - 8y = -40 -10 -5 5 10 x Find an equation for the described linear function. 36) Through (0, 1) and parallel to y = -9x - 8 -5 -10 37) Through 0, 31) y = 4x - 5 7 and perpendicular to 8 7x - 9y = 3 y 10 Find an equation in point -slope form of the line having the specified slope and containing the point indicated. 38) m = -5, (0, -5) 5 -10 -5 5 10 5 39) m = , (-5, 6) 6 x -5 Find an equation of the line having the specified slope and containing the indicated point. Write your answer in slope-intercept form. 40) m = -3; (-7, 6) -10 Find the equation for the graph. 32) 5 41) m = - ; (-9, 0) 6 y 10 Find an equation of the line containing the given pair of points. Write your final answer as a linear function in slope-intercept form. 42) (5, -3) and (0, 6) 5 -10 -5 5 10 x -5 43) (3, 0) and (8, 6) -10 Find the slope-intercept equation for the line with the indicated slope and y-intercept. 5 33) Slope ; y-intercept (0, -7) 2 4
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