How to find Equation of a line #shorts

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

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

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?

Find the equation of the st.line joining the points (3,-1) and (2,3) . Also find the equation of another st.line perpendicular to this st.line and passing through (5,2) .

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

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

The Cartesian equation of a line is (x-3)/(2)=(y+1)/(-2)=(z-3)/(5). Find the vector equation of the line.

The cartesian equation of a line is (x-3)/(2)=(y+1)/(-2)=(z-3)/(5). Find the vector equation of the line.

The Cartesian equation of a line is (x-5)/3=(y+4)/7=(z-6)/2. find the vector equation of the line.

The Cartesian equation of a line is (x+3)/(2)=(y-5)/(4)=(z+6)/(2). Find the vector equation for the line.