## What is the rule for perpendicular lines?

If two non-vertical lines in the same plane intersect at a right angle then they are said to be perpendicular. Horizontal and vertical lines are perpendicular to each other i.e. the axes of the coordinate plane. The slopes of two perpendicular lines are negative reciprocals.

## What is the equation of the line that passes through (- 2 3 and is perpendicular to 2x 3y 6?

The equation of the line that passes through (-2, 3) and is parallel to 2x + 3y = 6 is 2x + 3y – 5 = 0.

## How do you find equation of a line with two points?

How to Find the Equation of a Line from Two Points
1. Find the slope using the slope formula. …
2. Use the slope and one of the points to solve for the y-intercept (b). …
3. Once you know the value for m and the value for b, you can plug these into the slope-intercept form of a line (y = mx + b) to get the equation for the line.

## How do you prove two coordinates are perpendicular?

Explanation: If the slopes of two lines can be calculated, an easy way to determine whether they are perpendicular is to multiply their slopes. If the product of the slopes is , then the lines are perpendicular. In this case, the slope of the line is and the slope of the line is .

## How do you find the equation of a line parallel to another line?

So, to find an equation of a line that is parallel to another, you have to make sure both equations have the same slope. In the general equation of a line y=mx+b , the m represents your slope value.

## What is the formula used for finding the equation of a line given a point and a slope?

These are the two methods to finding the equation of a line when given a point and the slope: … Use the m given in the problem, and the b that was just solved for, to create the equation y = mx + b. Point-slope form = y − y 1 = m ( x − x 1 ) , where ( x 1 , y 1 ) is the point given and m is the slope given.

## How do you work out the equation of a line?

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.

## Is B the Y intercept?

In the equation of a straight line (when the equation is written as “y = mx + b”), the slope is the number “m” that is multiplied on the x, and “b” is the y-intercept (that is, the point where the line crosses the vertical y-axis). This useful form of the line equation is sensibly named the “slope-intercept form”.

## What is the Y intercept formula?

The y-intercept formula says that the y-intercept of a function y = f(x) is obtained by substituting x = 0 in it. Using this, the y-intercept of a graph is the point on the graph whose x-coordinate is 0. i.e., just look for the point where the graph intersects the y-axis and it is the y-intercept.

## How do you draw a straight line on Nat 5 maths?

The equation of a straight line takes the form y = mx + c where m is the gradient and c is the y-intercept. The y-intercept is the y coordinate of the point where the line cuts the y-axis.

## What does Y MX C mean?

y=mx+c
The equation y=mx+c is the general equation of any straight line where m is the gradient of the line (how steep the line is) and c is the y -intercept (the point in which the line crosses the y -axis).

## What is a zero algebra?

A zero, or x-intercept, is the point at which a linear function’s value will equal zero. Zeros can be observed graphically. Because the x-intercept (zero) is a point at which the function crosses the x-axis, it will have the value (x,0), where x is the zero.

## How do you find the intercepts of a graph in physics?

To find the x-intercept, look for the point where the line crosses the x-axis. , then draw other points along the line by counting to the left 4 and down 3, and to the right 3 and up 4. When you draw a line through the points, you should see the line cross the x-axis just left of the (0,0) coordinate.

## How do you write the axis of symmetry?

For a quadratic function in standard form, y=ax2+bx+c , the axis of symmetry is a vertical line x=−b2a . Example 1: Find the axis of symmetry of the parabola shown. The x -coordinate of the vertex is the equation of the axis of symmetry of the parabola.

## Is 0 a real number?

Real numbers are, in fact, pretty much any number that you can think of. … Real numbers can be positive or negative, and include the number zero. They are called real numbers because they are not imaginary, which is a different system of numbers.

## What is the zero of F?

We can see that when x = -1, y = 0 and when x = 1, y = 0 as well. Hence, the zeros of f(x) are -1 and 1. The graph of f(x) is shown below. Using this graph, what are the zeros of f(x)?

How to find zeros of other functions?
Type of Function Example
Trigonometric Function f(x) = -3 sin x

## What does F 0 represent?

The expression f(0) represents the y-intercept on the graph of f(x). The y-intercept of a graph is the point where the graph crosses the y-axis. This occurs where x is equal to 0.