# Math Questions With Answers (6): Slope and Lines

Math questions on slopes and equations of lines. Answers to these questions are also provided and are located at the lower part of the page.

 Questions 1: Find, if possible, the slope of the line through the points (1/2 , 3/4) and (-1/3 , 5/4). Questions 2: Find, if possible, the slope of the line through the points (2 , 5) and (-4 , 5). Questions 3: Find, if possible, the slope of the line through the points (-9 , 4) and (-9 , -2). Questions 4: Line L passes through the points (4 , -5) and (3 , 7). Find the slope of any line perpendicular to line L. Questions 5: Find the slope of the line given by it equation: 2 x + 4 y = 10. Questions 6: Write an equation, of the slope intercept form, of the line passing through the points (2 , 3) and (4 , 6). Questions 7: Write an equation, in the slope intercept form, of the line with an x-intercept at (3 , 0) and a y-intercept at (0 , -5). Questions 8: Write an equation, in the slope intercept form, of the line with slope -2 and passing through the point (-4 , -5). Questions 9: Write an equation of the vertical line through the point (3 , 0). Questions 10: Write an equation of the horizontal line through the point (7 , -5). Questions 11: Find an equation of the line through the points (-3 , 5) and (9 , 10) and write it in the standard form Ax + By = C, with A > 0. Questions 12: Find an equation of the line parallel to the line 3x + 6y = 5 and passing through the point (1 , 3). Write the equation in the slope intercept form. Questions 13: Find an equation of the line perpendicular to the line 3x + 6y = 5 and passing through the point (1 , 3). Write the equation in the standard form. Questions 14: Write the equation of the line parallel to the line x = 5 and passing through the point (3 , -10). Questions 15: Write the equation of the line perpendicular to the line x = 2 and passing through the point (2 , -8). Questions 16: Write the equation of the line passing through the midpoint of the line segment defined by the points (2 , 8) and (0 , 4) and perpendicular to the line whose equation is given by -3x + 6y = 5. Questions 17: Are the lines with equations 2x - 3y = 8 and -x + 4y = 2 parallel, perpendicular or neither? Questions 18: Are the lines with equations 2x = 8 and -3y = 15 parallel, perpendicular or neither? Questions 19: What is the point of intersection of the lines with equations x = 7 and y = -9? Questions 20: Rewrite the equation |y| = |x| as two equations of two lines. ANSWERS TO ABOVE QUESTIONS 1) - 3 / 5 2) 0 3) undefined 4) 1 / 12 5) - 1 / 2 6) y = (3 / 2) x 7) y = (5 / 3) x - 5 8) y = - 2 x - 13 9) x = 3 10) y = -5 11) 5x - 12 y = - 75 12) y = (-1 / 2) x + 7 / 2 13) y = 2x + 1 14) x = 3 15) y = -8 16) y = -2x + 8 17) Neither 18) Perpendicular 19) (7 , - 9) 20) y = x and y = - x More math questions and problems with detailed solutions in this site.