What does it mean to be perpendicular to the y-axis?
Perpendicular to the y axis means that the line is horizontal. Horizontal lines are in the form y=constant. The y coordinate of the point given is -3.
What is the equation of a line on the y-axis?
x = 0
The equation of the y-axis is given by x = 0. The equation of the line parallel to the y-axis is x = k, where ‘k’ is any real number. For example, considering the equation of a line, x = 3, for any value of ‘y’ the value of ‘x’ is always equal to 3.
What is the line perpendicular to Y =- 2?
As we know, the slope of the line Y= -2 is zero. So the slope of a line perpendicular to Y= -2 is 90 degree. Hence, equation of this line is X=k.
Which of the following is the equation of a line perpendicular to the y-axis through the point 3 2?
Any line perpendicular to y-axis whose equation is x = 0 is given by y = k . Since it passes through the point (-3, 2) therefore it must satisfy the equation y = k which then gives 2 = k . Hence the required equation of the line y = 2 .
How do you find the equation of a line parallel to the y-axis?
The equation of line parallel to y axis is of the form x = a, and it cuts the x-axis at the point (a, 0). This equation of a line x = a is a line parallel to y-axis and is at a perpendicular distance of ‘a’ units from the y-axis. And every point on this line x = a has the value of x coordinate equal to ‘a’.
What is an equation of a line that is perpendicular to the line whose equation is 2y 3x 1?
-2/3
So the slope of the perpendicular line is the reciprocal of 3/2 which is multiplied by -1. Therefore, the slope of a line that is perpendicular to the line whose equation is 2y = 3x – 1 is -2/3.
What is the equation of Y?
y = mx + b is the slope intercept form of writing the equation of a straight line. In the equation ‘y = mx + b’, ‘b’ is the point, where the line intersects the ‘y axis’ and ‘m’ denotes the slope of the line….y=mx+b.
| 1. | Meaning of y = mx + b |
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| 5. | Practice Questions on y mx b |
| 6. | FAQs on y mx b |
How do you find the equation of a line?
To find an equation of a line given the slope and a point.
- Identify the slope.
- Identify the point.
- Substitute the values into the point-slope form, y − y 1 = m ( x − x 1 ) .
- Write the equation in slope-intercept form.
What slope is perpendicular to Y =- 3?
Using the slope-intercept form, the slope is 0 0 . The perpendicular line is vertical and the slope is undefined.
What is the slope of a line that is perpendicular to Y =- 4?
Using the slope-intercept form, the slope is 4 4 . The equation of a perpendicular line to y=4x y = 4 x must have a slope that is the negative reciprocal of the original slope.