Which of the following is the equation of a line parallel to y-axis?
Robert Miller
Score: 4.9/5 (74 votes)
A line that is parallel to the y-axis is of the form 'x=k', where 'k' is any real number and 'k' is the distance of the line from the y-axis. For example, the equation of a line which is of the form x = 3 is a line parallel to the y-axis and is 3 units away from the y-axis.
Which of the following is the equation of a line parallel to y-axis a Y 0?
x+y= 0.
Which of the following is true about the line that is parallel to the y-axis and passes through the point 5 8?
The equation of a line parallel to y axis and passing through the point (5,8) is x = 5. We know that the slope of y-axis is infinite, which is 1/0. ... So, the line x = 5 is the required solution.
What is a parallel equation?
Parallel lines have the same slope but different y-intercepts. When the equations of two lines are the same they have infinitely many points in common, whereas parallel lines have no points in common. Our equation is given in slope-intercept form, \displaystyle y=mx+b.
How do you find the equation of a line parallel?
We can determine from their equations whether two lines are parallel by comparing their slopes. If the slopes are the same and the y-intercepts are different, the lines are parallel. If the slopes are different, the lines are not parallel. Unlike parallel lines, perpendicular lines do intersect.
What is the equation of the Line Parallel to y-Axis?
What is the equation of a line parallel to the y-axis and passing through (- 3 2?
Thus the equation of line parallel to y-axis passing through the point (-3, 2) is x + 3 = 0.
What is a line parallel to the y-axis?
In a coordinate plane, a line parallel to the Y-axis is called Vertical Line. ... Any point in this line will have the same value for the x-coordinate. A line parallel to the y-axis that is vertical line has no slope.
What is the equation of the y-axis?
The equation of y-axis is x = 0, since, y-axis is a parallel to itself at a distance 0 from it.
Which of the following equation has graph parallel to Y?
Answer: Thus, if P(x, y) is any point on AB, then x = a. Hence, the equation of a straight line parallel to y-axis at a distance a from it is x = a.
What is the equation of y-axis class 9?
Thus, the equation of y-axis in one variable is x = 0 and the equation of y-axis in two variables is 1. x + 0.
What is the equation of a line parallel to the y-axis and passing through (- 3 5?
The equation of the line that is parallel to y - axis and passing through ( 3 , 5 )will be x = 3 .
What is the equation of a line parallel to y-axis and passing through the point 5 0?
The required equation of line parallel to the y-axis having this above line also passes through the point (5, 0). Therefore, the equation of line parallel to y-axis and passing through the point (5, 0) is x = 5.
How many solution S does a linear equation in two variables have?
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.
Which equation is a linear equation in 2 variables?
Linear equations in two variables are the algebraic equations which are of the form y = mx + b, where m is the slope and b is the y-intercept. They are the equations of the first order. For example, y = 2x+3 and 2y = 4x + 9 are two-variable linear equations.
How many solutions are there for linear equation?
A system of linear equations usually has a single solution, but sometimes it can have no solution (parallel lines) or infinite solutions (same line). This article reviews all three cases. One solution. A system of linear equations has one solution when the graphs intersect at a point.
How many solution does linear equation have?
A linear equation has 3 types of solutions. They are: 1) One solution. 2) Infinitely many solutions.
What is the equation of line parallel to y-axis and passing through (- 4 0?
The equation of the line that is parallel to y - axis and passing through ( 4 ,0 ) will be x = 4 .
What is the equation of the line that passes through the point (- 3 7 and is parallel to the y-axis?
The equation of line parallel to y-axis passing through the point (-3, -7) is x + 3 = 0.
What is the equation of y-axis class 10?
Equation of y-axis comes out to be x=0 in both cases, i.e. when c is finite and when c is infinite.
Why is equation of a line parallel to?
In two dimensions, parallel lines have the same slope . We can write the equation of a line parallel to a given line if we know a point on the line and an equation of the given line. y=2x+3 . ... So, any line parallel to y=2x+3 has the same slope 2 .
What is the equation of a line parallel to y-axis at a distance of 7 units to its left?
The equation of the line parallel to Y-axis at a distance of 7 units from it to its left is x = −7.
How do you find the C intercept?
The general equation of a straight line is y = mx + c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis. The equation of a straight line with gradient m and intercept c on the y-axis is y = mx + c.
What is the equation of a line parallel to the y-axis and 3 units to the left of it?
Answer: We know that the equation of a straight line is parallel and to the left of x-axis at a distance a, then its equation is x = -a. Therefore, the equation of a straight line parallel to y-axis at a distance of 3 units on the left hand side of y-axis is x = -3.
