#### Find an equation for the line with the given properties

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

Equation from 2 points using Slope Intercept FormCalculate the slope from 2 points.Substitute either point into the equation. You can use either (3,7) or (5,11)Solve for b, which is the y-intercept of the line.Substitute b, -1, into the equation from step 2.

## How do you find the equation of a horizontal line?

Horizontal lines have a slope of 0. Thus, in the slope-intercept equation y = mx + b, m = 0. The equation becomes y = b, where b is the y-coordinate of the y-intercept.

## How do you find the standard equation of a line?

The standard form for linear equations in two variables is Ax+By=C. For example, 2x+3y=5 is a linear equation in standard form. When an equation is given in this form, it’s pretty easy to find both intercepts (x and y).

## What are the three equations of a line?

There are three major forms of linear equations: point-slope form, standard form, and slope-intercept form. We review all three in this article. There are three main forms of linear equations.

## What is the formula of two point form?

The equation of the line joining two points (x_{1}, y_{1}) and (x_{2}, y_{2}) is given by y – y_{1}=frac{y_2-y_1}{x_2-x_1}(x – x_{1}). The slope of the line joining two points (x_{1}, y_{1}) and (x_{2}, y_{2}) is equal to frac{y_2-y_1}{x_2-x_1}.

## What is the Y intercept formula?

The equation of any straight line, called a linear equation, can be written as: y = mx + b, where m is the slope of the line and b is the y-intercept. The y-intercept of this line is the value of y at the point where the line crosses the y axis.

## How do you calculate a slope of a line?

The slope of a line characterizes the direction of a line. To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points .

## How do you write an equation for a vertical and horizontal line?

Horizontal lines go left and right and are in the form of y = b where b represents the y intercept. Vertical lines go up and down and are in the form of x = a where a represents the shared x coordinate of all points.

## What is an equation of the horizontal line that passes through 5 7?

Explanation: The point (a,b) is (5,7) . Therefore, the equation of the line is y=7 .

## What is an example of a horizontal line?

An equation that only crosses the y-axis is a horizontal line. For example: y=5 is a horizontal line that crosses the y-axis at (0,5).

## How do you read standard form?

Standard form is another way to write slope-intercept form (as opposed to y=mx+b). It is written as Ax+By=C. You can also change slope-intercept form to standard form like this: Y=-3/2x+3. Next, you isolate the y-intercept(in this case it is 3) like this: Add 3/2x to each side of the equation to get this: 3/2x+y=3.

## What is standard form in math?

Standard form is a way of writing down very large or very small numbers easily. So 4000 can be written as 4 × 10³ . This idea can be used to write even larger numbers down easily in standard form. Small numbers can also be written in standard form.