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7. Find Slope, X-intercept, Y-intercept of a line example
( Enter your problem )
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- Find the slope and y-intercept of the line 2x+3y=4
- Find x-intercept and y-intercept of the line 2x+3y=4
- Find the slope, x-intercept and y-intercept of the line 2x+3y=4
- Find the slope, x-intercept and y-intercept of the line joining the points A(1,3) and B(3,5)
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Other related methods
- Distance, Slope of two points
- Points are Collinear or Triangle or Quadrilateral form
- Find Ratio of line joining AB and is divided by P
- Find Midpoint or Trisection points or equidistant points on X-Y axis
- Find Centroid, Circumcenter, Area of a triangle
- Find the equation of a line using slope, point, X-intercept, Y-intercept
- Find Slope, X-intercept, Y-intercept of a line
- Find the equation of a line passing through point of intersection of two lines and slope or a point
- Find the equation of a line passing through a point and parallel or perpendicular to Line-2 or point-2 and point-3
- Find the equation of a line passing through point of intersection of Line-1, Line-2 and parallel or perpendicular to Line-3
- For two lines, find Angle, intersection point and determine if parallel or perpendicular lines
- Reflection of points about x-axis, y-axis, origin
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3. Find the slope, x-intercept and y-intercept of the line 2x+3y=4
1. Find the slope, x-intercept 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`
Now, to find the intercept on X-axis put `y=0` in the given equation.
The value of `x` will give the intercept of the line on X-axis
`:. 2x+3y=4`
`:. 2x+3(0)=4`
`:. 2x=4`
`:. x=2`
Hence, the slope of the line is `-2/3`, the x-intercept is `2` and the y-intercept is `4/3`
2. Find the slope, x-intercept 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`
Now, to find the intercept on X-axis put `y=0` in the given equation.
The value of `x` will give the intercept of the line on X-axis
`:. 2x+3y=6`
`:. 2x+3(0)=6`
`:. 2x=6`
`:. x=3`
Hence, the slope of the line is `-2/3`, the x-intercept is `3` and the y-intercept is `2`
3. Find the slope, x-intercept 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`
Now, to find the intercept on X-axis put `y=0` in the given equation.
The value of `x` will give the intercept of the line on X-axis
`:. 3x+6y=8`
`:. 3x+6(0)=8`
`:. 3x=8`
`:. x=8/3`
Hence, the slope of the line is `-1/2`, the x-intercept is `8/3` and the y-intercept is `4/3`
4. Find the slope, x-intercept 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`
Now, to find the intercept on X-axis put `y=0` in the given equation.
The value of `x` will give the intercept of the line on X-axis
`:. 4x+5y=-7`
`:. 4x+5(0)=-7`
`:. 4x=-7`
`:. x=-7/4`
Hence, the slope of the line is `-4/5`, the x-intercept is `-7/4` and the y-intercept is `-7/5`
This material is intended as a summary. Use your textbook for detail explanation.
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