7. Find Slope, X-intercept, Y-intercept of a line example ( Enter your problem )
  1. Find the slope and y-intercept of the line 2x+3y=4
  2. Find x-intercept and y-intercept of the line 2x+3y=4
  3. Find the slope, x-intercept and y-intercept of the line 2x+3y=4
  4. Find the slope, x-intercept and y-intercept of the line joining the points A(1,3) and B(3,5)
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

6. Find the equation of a line using slope, point, X-intercept, Y-intercept
(Previous method)
2. Find x-intercept and y-intercept of the line 2x+3y=4
(Next example)

1. Find the slope and y-intercept of the line 2x+3y=4





1. Find the slope and y-intercept of the line `2x+3y=4`

Solution:
The given equation sholud be written in the form `y=mx+c`

`2x+3y=4`

`:. 3y=-2x+4`

`:. y=-2/3x+4/3`

Comparing this equation with `y=mx+c`, we get

`m=-2/3` and `c=4/3`

Hence, the slope of the line is `-2/3` and the y-intercept is `4/3`



2. Find the slope and y-intercept of the line `2x+3y-6=0`

Solution:
The given equation sholud be written in the form `y=mx+c`

`2x+3y-6=0`

`:. 3y=-2x+6`

`:. y=-2/3x+2`

Comparing this equation with `y=mx+c`, we get

`m=-2/3` and `c=2`

Hence, the slope of the line is `-2/3` and the y-intercept is `2`



3. Find the slope and y-intercept of the line `3x+6y-8=0`

Solution:
The given equation sholud be written in the form `y=mx+c`

`3x+6y-8=0`

`:. 6y=-3x+8`

`:. y=-1/2x+4/3`

Comparing this equation with `y=mx+c`, we get

`m=-1/2` and `c=4/3`

Hence, the slope of the line is `-1/2` and the y-intercept is `4/3`



4. Find the slope and y-intercept of the line `4x+5y+7=0`

Solution:
The given equation sholud be written in the form `y=mx+c`

`4x+5y+7=0`

`:. 5y=-4x-7`

`:. y=-4/5x-7/5`

Comparing this equation with `y=mx+c`, we get

`m=-4/5` and `c=-7/5`

Hence, the slope of the line is `-4/5` and the y-intercept is `-7/5`





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6. Find the equation of a line using slope, point, X-intercept, Y-intercept
(Previous method)
2. Find x-intercept and y-intercept of the line 2x+3y=4
(Next example)





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