6. Find the equation of a line using slope, point, X-intercept, Y-intercept example ( Enter your problem )
  1. Find the equation of a straight line passing through A(-4,5) and having slope -2/3
  2. Find the equation of a straight line passing through the points A(7,5) and B(-9,5)
  3. Find the equation of a line having slope 1/2 and y-intercept -3
  4. Find the equation of a line whose x-intercept is 5 and y-intercept is 2
Other related methods
  1. Distance, Slope of two points
  2. Points are Collinear or Triangle or Quadrilateral form
  3. Find Ratio of line joining AB and is divided by P
  4. Find Midpoint or Trisection points or equidistant points on X-Y axis
  5. Find Centroid, Circumcenter, Area of a triangle
  6. Find the equation of a line using slope, point, X-intercept, Y-intercept
  7. Find Slope, X-intercept, Y-intercept of a line
  8. Find the equation of a line passing through point of intersection of two lines and slope or a point
  9. Find the equation of a line passing through a point and parallel or perpendicular to Line-2 or point-2 and point-3
  10. Find the equation of a line passing through point of intersection of Line-1, Line-2 and parallel or perpendicular to Line-3
  11. For two lines, find Angle, intersection point and determine if parallel or perpendicular lines
  12. Reflection of points about x-axis, y-axis, origin

3. Find the equation of a line having slope 1/2 and y-intercept -3
(Previous example)
7. Find Slope, X-intercept, Y-intercept of a line
(Next method)

4. Find the equation of a line whose x-intercept is 5 and y-intercept is 2





1. Find the equation of a line whose X-intercept is `5` and Y-intercept is `2`

Solution:
Here intercept on X-axis `a=5` and intercept on Y-axis `b=2`

Equation of a line is `x/a+y/b=1`

`:. x/(5)+y/(2)=1`

`:. 2x+5y=10`

Hence, The equation of line is `2x+5y=10`




2. Find the equation of a line whose X-intercept is `3` and Y-intercept is `-2`

Solution:
Here intercept on X-axis `a=3` and intercept on Y-axis `b=-2`

Equation of a line is `x/a+y/b=1`

`:. x/(3)+y/(-2)=1`

`:. (x)/(3)-(y)/(2)=1`

`:. 2x-3y=6`

Hence, The equation of line is `2x-3y=6`




3. Find the equation of a line whose X-intercept is `-2/7` and Y-intercept is `3/5`

Solution:
Here intercept on X-axis `a=-2/7` and intercept on Y-axis `b=3/5`

Equation of a line is `x/a+y/b=1`

`:. x/(-2/7)+y/(3/5)=1`

`:. -(7x)/(2)+(5y)/(3)=1`

`:. -21x+10y=6`

`:. 21x-10y=-6`

Hence, The equation of line is `21x-10y=-6`




4. Find the equation of a line whose X-intercept is `6` and Y-intercept is `-4`

Solution:
Here intercept on X-axis `a=6` and intercept on Y-axis `b=-4`

Equation of a line is `x/a+y/b=1`

`:. x/(6)+y/(-4)=1`

`:. (x)/(6)-(y)/(4)=1`

`:. 2x-3y=12`

Hence, The equation of line is `2x-3y=12`






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3. Find the equation of a line having slope 1/2 and y-intercept -3
(Previous example)
7. Find Slope, X-intercept, Y-intercept of a line
(Next method)





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