www.ck2.org Slope-Intercept Form Practice True False Questions Indicate True or False for the following Statements.. The slope-intercept form of the linear equation makes it easier to graph because the starting point is always the y-intercept and the slope direct the steepness of the line. ( 2. Given that the line y 2 = x p and the line ax + = y are parallel, the value of a is 6. (. The equation of the line passing through (0,4) and parallel to the line x + y + = 0 is x + y 20 = 0. ( 4. The equation of a line perpendicular to the line x + 4y = 2 and passing through the point (, 2) is 4x 4y = 4. (. The equation of a line parallel to x + 8 2y = 0 and passing through the point (,2) is x 2y + = 0. ( 6. The slope and the y-intercept of the equation: y =.6x 24 is slope = 24 and y-intercept=.6. ( 7. Lines x = 2y and y + = 0 are perpendicular. ( 8. 2x + y + = 0 and 4x + 6y + 7 = 0 are perpendicular lines. ( 9. y = 2x + 4 is an example of an equation expressed in slope-intercept form. ( 0. Lines represented by the equations y = x x + and y = 2 are not parallel. (. If a line passing through the point (,) is parallel to the line y = 2x +, then its equation is x y =. ( 2. The slope-intercept form is y = mx + b, where m is the y-intercept and b is the slope. (. The equation of the line parallel to the line x +2y = 8 and passing through the point (0,) is x +6y 2 = 0. ( Multiple Choice Questions For each question, four alternative choices are given, of which only one is correct. You have to select the correct alternative and mark it in the appropriate option. 4. Consider the pattern: Point 0 = (0,4), Point = (,2), Point 2 = (2,0), Point = (,-2), Point 4 = (4,-4). If this pattern continues, what will be the coordinates of point 0? (0,-0) (0,-2) (0,-4) d. (0,-6). Identify the slope and the y intercept by looking at the equation. There are two answers for each problem: y = x -, -, - 0, d. -, 0 6. Determine the slope and y-intercept of the line: y = 4x slope = 0; y-intercept = -4 slope = 0; y-intercept = 4 slope = 4; y-intercept = 0
www.ck2.org d. slope = -4; y-intercept = 0 7. Find the slope(m) and the y-intercept(c) of the equation 4x + y =. m = 4,c = m = 4,c = m = 4,c = d. m = 4,c = 8. Identify the slope and the y intercept by looking at the equation. There are two answers for each problem: y = x + 6 -, 6 -, -6, 6 d., -6 9. Find the equation of the line passing through the point (2,0) and parallel to the line 2x y = 0. 2x y 6 = 0 2x y 4 = 0 2x y 4 = 0 d. x y 4 = 0 20. Identify the slope and y-intercept of this equation: y = 2x + slope = ; y-intercept = 2 slope = 2; y-intercept = 2 slope = ; y-intercept = d. slope = 2; y-intercept = 2. y = x 2 + 2 and y 2 = x + 2 are lines. Perpendicular Parallel Intersecting 22. Which of the following is a line parallel to x 2y = 4 and passing through the point (0,)? x 2y = 0 x 2y + 6 = 0 x + 6 = 0 d. 2y + 6 = 0 2. If it is given that the line x + y = and the line ax + y = 7 are parallel, then what is the value of a. d. 24. Identify the slope and the y-intercept by evaluating the equation. y = x +,,, 2
www.ck2.org d., 2. Find the slope and the y-intercept of the equation: y = x - 2 slope: -, y-intercept 2 slope:, y-intercept -2 slope: 2, y-intercept - d. slope: -2, y-intercept 26. Find the equation of the line perpendicular to the line x + 2y = and passing through point (,). x + y = 8 2x + 2y = 8 2x + y = 7 d. None o f the above 27. Identify the slope and the y intercept by looking at the equation. There are two answers for each problem: y = 2x 4 2, 4-2, 4-2,-4 d. 2, -4 28. Consider the pattern: Point 0 = (0,4), Point = (,2), Point 2 = (2,0), Point = (,-2), Point 4 = (4,-4). Can you create an equation that relates the x value to the y value in this pattern? y = 2x + 4 y = 2x 4 y = 2x + 4 d. y = 2x 4 29. The following pairs of lines are to each other. x 2 + y = ;x + 2y 4 = 0: Perpendicular Parallel Intersecting 0. Identify the slope and the y intercept by looking at the equation. There are two answers for each problem: y = 2 x + 2, 2,, d.,. Identify the slope and the y intercept by looking at the equation. There are two answers for each problem: y = 4x 2-4, 2 4, 2 4, -2 d. -4, -2 2. Find the slope and the y-intercept of the equation: y - 2x = 6 slope: 2, y-intercept 6 slope: 6, y-intercept -2
www.ck2.org slope: -6, y-intercept 2 d. slope: -2, y-intercept -6. If the lines x + y = 4 and ax + y = 7 are parallel, find the value of a. 7 4. Find the slope and the y-intercept of the equation: y = 2x + 8 slope: 8, y-intercept 2 slope: 6, y-intercept 4 slope: 2, y-intercept 8 d. slope:., y-intercept 8. For any equation where y = mx, the y-intercept is always equal to what value: 0 undefined d. none of the above 6. The lines 7x + 4y = 2 and 4x + 7y + 4 = 0 are. Parallel Perpendicular Intersecting lines but not perpendicular 7. Identify the slope and the y intercept by looking at the equation. There are two answers for each problem: y = 6x + 6, - -6, - 6, d. -6, 8. Which equation represents a line passing through the y-axis at x = 2, and rising at a rate of units for each unit it progresses to the right? y = x y = x y = x + 2 d. y = -x + 2 9. Consider the pattern: Point 0 = (0,4), Point = (,2), Point 2 = (2,0), Point = (,-2), Point 4 = (4,-4). If this pattern continues, what will be the coordinates of point? (,-) (,-6) (,-8) d. (,-0) 40. Find the slope and y-intercept: 4 x 2 = y slope = 2; y-intercept = 4 slope = 4 ; y-intercept = -2 4
www.ck2.org slope = 4 ; y-intercept = 2 d. slope = 4; y-intercept = -48 4. Which equation represents a line parallel to y = x - 2? y = - x - 4 y = 2x y = x + d. y = /x + 2 42. Identify the slope and the y intercept by looking at the equation. There are two answers for each problem: y = x + -,,, - d. -, - 4. Identify the slope and the y intercept by looking at the equation. There are two answers for each problem: y = x + 2, -2 -, 2, 2 d. -, -2 44. Find the slope and the y-intercept of the equation: x + 2y = - 4 slope: -, y-intercept 2 slope: -.x, y-intercept -2 slope:., y-intercept -2 d. slope:, y-intercept -4 4. Identify the slope and the y intercept by looking at the equation. There are two answers for each problem: y = 4 x + 4 4, 4 4, 4 4, 4 d. 4, 4