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.
Question 1Find, if possible, the slope of the line through the points (1/2 , 3/4) and (1/3 , 5/4).
Question 2Find, if possible, the slope of the line through the points (2 , 5) and (4 , 5).
Question 3Find, if possible, the slope of the line through the points (9 , 4) and (9 , 2).
Question 4Line L passes through the points (4 , 5) and (3 , 7). Find the slope of any line perpendicular to line L.
Question 5Find the slope of the line given by it equation: 2 x + 4 y = 10.
Question 6Write an equation, of the slope intercept form, of the line passing through the points (2 , 3) and (4 , 6).
Question 7Write an equation, in the slope intercept form, of the line with an xintercept at (3 , 0) and a yintercept at (0 , 5).
Question 8Write an equation, in the slope intercept form, of the line with slope 2 and passing through the point (4 , 5).
Question 9Write an equation of the vertical line through the point (3 , 0).
Question 10Write an equation of the horizontal line through the point (7 , 5).
Question 11Find 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.
Question 12Find 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.
Question 13Find 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.
Question 14Write the equation of the line parallel to the line x = 5 and passing through the point (3 , 10).
Question 15Write the equation of the line perpendicular to the line x = 2 and passing through the point (2 , 8).
Question 16Write 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.
Question 17Are the lines with equations 2x  3y = 8 and x + 4y = 2 parallel, perpendicular or neither?
Question 18Are the lines with equations 2x = 8 and 3y = 15 parallel, perpendicular or neither?
Question 19What is the point of intersection of the lines with equations x = 7 and y = 9?
Question 20Rewrite the equation y = x as two equations of two lines.
ANSWERS TO ABOVE QUESTIONS1)  3 / 52) 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 References and LinksFind Distance, Slope and Equation of Line  Calculatormath questions and problems with detailed solutions .
