Table of Contents
What is the equation of the line that passes through 1 2?
Answer: The equation of a line that passes through the point (1, 2) and is perpendicular to the line y = x + 5 is y = -x + 3.
How many linear are there on which point 1/2 lies write are such equation?
Textbook solution (1,2). the no of equations are infinite.
How do you find the equation of a line in Class 9?
Intercept Form
- x/a + y/b = 1.
- x/(-C/A) + y/(-C/B) = 1.
- x cos α+y sin α = p.
- A cos α = B sin α = – p.
- (1) The equation of a line is given by, 2x – 6y +3 = 0.
- (2) The equation of a line is given by, 13x – y + 12 = 0.
- Solution: The given equation 13x – y + 12 = 0 can be represented in slope-intercept form as:
What is the equation of the line which passes through the points 1/3 and 2/5 )?
y = 2x + 1 this is slope-intercept form. 2x – y = -1 this is standard form.
How many equation are there?
There are following three types of polynomial equations: Monomial Equations. Binomial Equations. Trinomial Equations.
How many solution S does a linear equation in two variables have?
infinitely many solutions
Further, a linear equation in two variables has infinitely many solutions. The graph of every linear equation in two variables is a straight line and every point on the graph (straight line) represents a solution of the linear equation.
What is the equation for two points?
Since we know two points on the line, we use the two-point form to find its equation. The final equation is in the slope-intercept form, y = mx + b.
What is the formula for equation of line?
| Fact | You can use this fact when you know: |
|---|---|
| Slope formula: | two points on a line |
| Slope-intercept formula: y = mx + b | the slope and y-intercept of a line |
| Point-slope formula: y – y1 = m(x – x1) | the slope of a line and a point on the line |
| Parallel lines have equal slopes | the slope of a line |
What is the equation of a line passing through a point?
In geometry, there exists infinitely many points passing through a given point. ax + by + c = 0 , where a, b, and c are real numbers. So, if the line pass through the point ( 1,2), we can get relation between a, b and c, as follows: Using this relation you can get the equations of lines passing through the points (1, 2) .
How many lines (equations) can there be in a graph?
There can be infinite number of lines (equations) as seen in figure Point (1, 2) Hence, x = 1, y = 2 Eg: y – x = 1 x + y = 3 2x – y = 0 Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.
How do you find the general equation of a line?
The general equation of a line is y = mx + c where m is the gradient and c is the y intercept. if you know one point on the line then you can get an equation connecting m and c.
How to determine whether a point is located in a line?
Explanation: To determine whether a point is located in a given line, simply plug in the coordinates of the point into the line. In this case, plugging in the coordinates into the only line where you can plug in the coordinates and have a valid equation is. Plugging in (2,7) would give you an equation of, which works out to.