Write equation of each line in slope intercept form

Question

parallel to 3x+4y=5 passing through (5,-2)

Answer 1

The equation of given line is in Standard Form:   Ax+By=C

    -- the slope of the line is:   -A/B

    -- all parallel lines have same slope:  -A/B 

    -- the equation of the parallel line is:  Ax+By=D      [we need a point so we can find D]

 

Using the point (5,-2) with the equation  3x+4y=D

        3(5)+4(-2)=D

          15  - 8  =  D

              7 = D

 

The equation (in Standard Form) of the perpendicular line is:    3x + 4y = 7

 

In slope-intercept form, the equation is:  y = (-3/4)x + 7/3