Equation of line passes through two points|| Slope-intercept form|| examples

Slope-intercept form of a line

Find the equation of the line passing through the point (1,3), if its y-intercept is 3 times its x-intercept.

Find the equation of the line which passes through the point (5,6) and the intercepts on the axes are equal in magnitude but opposite in sign.

Find the equation of a line which passes through the point (-3,7) and makes intercepts on the axes, equal in magnitude but opposite in sign.

Equation of plane passes through a point and parallel to two given lines (parametric form)

Equation of plane passes through a point and parallel to two given lines(non parametric form

The equation of the line which passes through the point (3,4) and whos y-intercept is twice its x-intercept, is

Find the equation of the line which passes through the point (22,-6) and whose intercept on the x-axis exceeds the intercept on the y-axis by 5.