Calculating Slope and y-Intercept
Find the slope and y-intercept of the line that passes through the points (1, 3) and (4, 11).
Solving Linear Equations
Find the point where the line given by the equation 3x - 2y = 6 intersects the y-axis?
Solving Radical Equations
Solve the radical equation \( \sqrt{x + 1} = 3x - 2 \) and verify if the solution is a point on the line \( y = 2x + 1 \)
Finding the Midpoint of a Line Segment
Find the midpoint of the line segment between the points A(4, 7) and B(10, 15).
Distance Formula
Find the distance between the point (3, 4) and the line 2x - 3y = 6 using the distance formula.
Finding a Point's Quadrant
Given the linear function \(f(x) = 3x - 2\), in which quadrant of the Cartesian plane is the point \((4, f(4))\)?
Finding Equations Using the Slope-Intercept Formula
Find the equation of the line that has a slope of 3 and passes through the point (4,2) using the slope-intercept form.
Finding Equations Using Slope-Intercept
Find the equation of the line that passes through the points (2,3) and (4,7) using the slope-intercept form.
Finding Equations Using Two Points
Find the equation of the line that passes through the points (3,7) and (6,13).
Finding a Perpendicular Line Containing a Given Point
Find the equation of the line perpendicular to the line \( y = 3x + 2 \) and passing through the point \( (4, -2) \).
Finding the Slope
Find the slope of the line that passes through the points (3, 5) and (-1, -7).
Finding a Parallel Line Containing a Given Point
Find the equation of the line parallel to the line \(3x - 4y = 12\) and passing through the point \((2, -3)\).
Finding the Equation Using Point-Slope Form
Find the equation of the line that passes through the points (2,5) and (4,9) using the point-slope form.