Find equations and slope of lines; questions and problems with solutions are presented.
Problems
Problem 1:
Find the equation of the line that passes through the points (-1 , 0) and (-4 , 12).
Problem 2:
What is the equation of the line through the points (-2 , 0) and (-2 , 4).
Problem 3:
Find the equation of the line that passes through the points (7 , 5) and (-9 , 5).
Problem 4:
Find the equation of the line through the point (3 , 4) and parallel to the x axis.
Problem 5:
What is the equation of the line through the point (-3 , 2) and has x intercept at x = -1.
Problem 6:
Find the equation of the line that has an x intercept at x = - 4 and y intercept at y = 5.
Problem 7:
What is the equation of the line through the point (-1 , 0) and perpendicular to the line y = 9.
Problem 8:
Find the slope, the x and y intercepts of the line given by the equation: -3 x + 5 y = 8.
Problem 9:
Find the slope intercept form for the line given by its equation: x / 4 - y / 5 = 3.
Problem 10:
Are the lines x = -3 and x = 0 parallel or perpendicular?
Problem 11:
For what values of b the point (2 , 2 b) is on the line with equation x - 4 y = 6
Solutions to the Above ProblemsSolution to Problem 1:The slope of the line is given by m = (y2 - y1) / (x2 - x1) = (12 - 0) / (-4 - (-1)) = - 12 / 3 = - 4 We now write the equation of the line in point slope form: y - y1 = m (x - x1) y - 0 = - 4(x - (-1)) Simplify and write the equation in general form y + 4 x = - 4
Solution to Problem 3:
Solution to Problem 4:
Solution to Problem 5:
Solution to Problem 6:
Solution to Problem 7:
Solution to Problem 8:
Solution to Problem 9:
Solution to Problem 10:
Solution to Problem 11:
More References and LinksGeneral Equation of a Line: ax + by = cSlope of a Line Solve Slope Problems |