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
2. L passes through (2,1) and is perpendicular to the line with the equation 3x-2y=5, y=b1x+bo
3. L passes through (0,-4) and is parrellel with the line 3x-y=6, y=b1x+bo
adding -3x both sides, we get
multiply both sides by (-1/2) both sides, we get
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.
Equation of a line L with slope m and which passes through (x1, y1) is ...