How to find equation of a line shortcut #shorts

Given the point (1,2), find the equation of a line on which it lies.How many such equations are there?

find the equation of a line equidistant from the lines y=10 and y=-2.

Write an equation of a line passing through the point representing solution of the pair of linear equations x+y=2 and 2x-y=1, How many such lines can we find?

How to find the slope of a line from the graph.

Find the vector equations of a line passing through the point A(3,-2,1) and parallel to the line joining B(-2,4,2) and C(2,3,,3). Also find the Cartesian equations of the line.

Find the equation of the line through the intersection of 5x-3y=1 and 2x+3y-23=0 and perpendicular to the line where equation is

Find the equation of a line perpendicular to the line (x)/(a)+(y)/(b)-1 and passes through the mid-point of the line segment lying between the axes of the given line.

Find the equation of a line of unit slope and passing through the origin.

Find equation of the line perpendicular to the line x having x intercept 3.