1. Write an equation of the line that contains the indicated point and meets the indicated
condition(s). Write the final answer in the standard form Ax + By = C, A > 0: parallel to 3x + 4y
= 8.
Solution
Slope of line = -coefficient of x / coefficient of y
slope of line [3x + 4y =8] (m1)= -3/4
slope of line parallel lines are same
so equation of line with slope -3/4 is
y= (-3/4) x + c (arbitary consant)
3x + 4y = c
Suppose (x1 , y1) is the indicated point contained in line
putting it in equation, we get value of c
c = 3x1 + 4 y1
and equation of line is written as
3x + 4y = c