<p>Honors Algebra 2: Linear Equations Name: ______ Use a separate piece of paper to show work and write solutions on this sheet. 1) Write an equation of the line whose slope is 3 and whose y – intercept is 5. </p><p>2) Write an equation of the line whose slope is ¼ and whose y – intercept is -6.</p><p>3) Find the slope between the two given points a. (-5, -2) and (4, -11) b. (-3, 3) and (7, 8)</p><p>3 4) Write a linear equation in slope intercept form when the slope is /7 and goes through the point (0,4).</p><p>5) Graph the line for the equation: 2 a. y = -3x + 2 b. y = /3 x – 4</p><p>6) Translate the following linear equations into slope-intercept form. Then graph below. a. 3x + 4y = 8 b. 2x - 3y = 9 c. 4x - y = 8 d. 6x - 2y = 7 e. y + 10 = 2(x – 5) f. y – 3 = - ½ (x + 8)</p><p>7) Write an equation of a line that passes through (2, -3) with slope of ½.</p><p>5 8) Write an equation of a line that passes through (1, -4) with a slope of – /2.</p><p>9) Write an equation of a line has x-intercept of 5 with a slope of 4. </p><p>10) Write an equation of a line that passes through (1, 3) with a slope of Undefined. Write a linear equation for each of following in slope intercept form. 11) (-3, 3), m = 1 15) (4, -2), m = 0</p><p>12) (0, 6), m = -2 16) (-4, -5) and (6, -1)</p><p>13) (1, 6), m = ½ 17) (0, -3) and (2, 0)</p><p>14) (5, -3), m = ½ 18) (2, -4) and (2, 6)</p><p>19) (3, -3) and (1, -3)</p><p>20) In 1990, the average family of 4 drank 95 gallons of orange juice. The amount of orange juice consumed has increased by an average of 0.3 gallons per year. a. Write a linear equation to find the average consumption of a family of 4 in any year after 1990. </p><p> b. Find the number of gallons of orange juice consumed by a family of 4 in 2005. </p><p>Identify if the following pairs of equations describe parallel, perpendicular, or neither type of lines. </p><p>1 21) y = 3x + 2 and y = /3 x + 5 23) y = 8 + 5x and y =5 x – 6</p><p>1 2 1 2 3 22) y = 8 + 3x and y = - /3 x -7 24) y = /3x + /2 and y = - /3x – /2</p><p>For #25 – 31: Write the equation of the line in slope-intercept form that … 25) Passes through (-1, -2) and is parallel to the graph of y = -3x – 2.</p><p>27) Passes through (4, -2) and is parallel to the graph of y = ½x – 7.</p><p>28) Passes (-3, -2) and is perpendicular to the graph of x + 4y = 12.</p><p>1 29) Is perpendicular to y = - /3x + 2 and passes through the x – intercept of that line.</p><p>30) Passes through the point (4, -1) and is perpendicular to the graph of 7x – 2y = 3.</p><p>31) Is parallel to the graph of 2y + 5x = 2 and passes through (0, 6).</p>