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.
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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 x-intercept at (3 , 0) and a y-intercept 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 .
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