53. Through (7, 11) and (2,-1) 54. Through (-5, 6) and (-3,-4) In Exercises 55 to 66, find the equation of the line, in slope-intercept form, that satisifies the given conditions. 55. The graph is parallel to the graph of y 2x + 3 and passes through the point whose coordinates are (2,-4). %3D 56. The graph is parallel to the graph of y =-x +1 and pasSses through the point whose coordinates are (-2, 4). 72. 3 57. The graph is parallel to the graph of y = 4 = --x + 3 and passes %3D through the point whose coordinates are (-4, 2). 58. The graph is parallel to the graph of y = ,x - 1 and passes through the point whose coordinates are (-3, -5). 59. The graph is parallel to the graph of 2x – 5y = 2 and passes through the point whose coordinates are (5, 2). 60. The graph is parallel to the graph of x + 3y = 4 and passes through the point whose coordinates are (-3, -1). 61. The graph is perpendicular to the graph of y = 2x – 5 and passes through the point whose coordinates are (3, -4). 62. The graph is perpendicular to the graph of y = -x + 3 and passes through the point whose coordinates are (-5, 2). 63. The graph is perpendicular to the graph of y = 3 --X +1 and passes through the point whose coordinates are (-6, 0). 64. The graph is perpendicular to the graph of 3x – 2y = 5 and passes through the point whose coordinates are (-3, 4). %3D 65. The graph is perpendicular to the graph of –x - 4y = 6 and passes through the point whose coordinates are (5, 2). 66. The graph is perpendicular to the graph of 5x – y = 2 anc passes through the point whose coordinates are (10, –2). %3D
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
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