What is the equation of the line with slope # m= 9/14 # that passes through # (-3,1) #?
14y - 9x -41 = 0
One form of the equation of a straight line is
y - b = m(x - a ) , where m represents the gradient and (a , b ) is a point on the line.
Here m and (a , b ) = (-3 . 1 ) are known. Substitute into equation.
# y - 1 = 9/14 (x + 3 )#
multiply both sides by 14 to eliminate fraction.
hence: 14y - 14 = 9x + 27
finally , 14y - 9x - 41 = 0