MAC1105SolQ7b - 1 c L passes through-1-2 and is...

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Name KEY Quiz 7B Date _________ Show all work! 1.)Write the equation of the line L satisfying the given conditions. Express your answer in slope-intercept form. a.) L passes through the points (-3,-2) and (-1,-4) Slope = m = − 4 −− 2  − 1 −− 3  = 2 2 =− 1 Point-slope formula: y-y1=m(x-x1) Let x1=-3 and y1=-2 y −− 2 =− 1 x −− 3  y 2 =− 1 x 3 y 2 =− x 3 y =− x 3 2 =− x 5 b.) L passes through (-3,2) and is parallel to x y = 6 First put x+y=6 into slope intercept form: y=-x+6. So our slope is m= -1. Point-slope formula y-y1=m(x-x1) Let x1=-3 and y1=2 y − 2 =− 1 x −− 3  y 2 =− 1 x 3 y 2 =− x 3 y =− x 3 2 =− x
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Unformatted text preview: 1 c.) L passes through (-1,-2) and is perpendicular to the y-axis. Remember that the y-axis is x=0. So the slope is undefined. Now we would like to create a line that goes through the point (-1, -2) and has slope zero. This means that the line is a horizontal line, thus the equation is y=-2. d.)Determine whether the given pair of lines are perpendicular, parallel, or neither: 3x+5y=2 and 4+10x=6y 5 y =− 3 x 2 and 4 10 x = 6 y = − 3 5 x 2 5 2 3 5 3 x = y Let m 1 = − 3 5 and Let m 2 = 5 3 m 1 m 2 = − 3 5 5 3 =− 1 Hence, the two lines are perpendicular!...
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