# Finding equations of line

Complete the equation of the line L satisfying each of the following sets of geometric conditions by determining the values of b1 and bo.

1. L has a slope of ¾ and x-intercept of (-4,0), y=b1x+bo
b1=
bo=

2. L passes through (2,1) and is perpendicular to the line with the equation 3x-2y=5, y=b1x+bo
b1=
bo=

3. L passes through (0,-4) and is parrellel with the line 3x-y=6, y=b1x+bo
b1=
bo=

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#### Solution Preview

...-2y=5

3x-2y=5
adding -3x both sides, we get
-3x+3x-2y=-3x+5
-2y=-3x+5
multiply both sides by (-1/2) both sides, we get
y=(-1/2)*(-3x)+5*(-1/2)
=(3/2)x-(5/2)

Comparing it with equation y=mx+c, we get
Slope of the line=m=3/2

Let the slope of desired line is n, we know given lines are perpendiculars, product of their slopes should be equal to -1 i.e.
m*n=-1
(3/2)*n=-1
n=(-2/3)

Equation of a line L with slope m and which passes through (x1, y1) is ...