Find k if the lines 2x + ky = 5 and 3x − 4y = 7 are perpendicular to each other.

Find the equation of the line with x-intercept 4 and y-intercept −3.

A line makes an angle of 45° with the positive direction of the x-axis and passes through (0, −3). Find its equation.

Find the equation of the line through (3, −2) that is parallel to 4x − 3y = 5.

Find the equation of the line passing through (0, 4) and (−3, 0).

For the line 2x + 3y = 6, find the slope, the x-intercept and the y-intercept.

Find the point of intersection of the lines 2x + y = 7 and x − y = 2.