What does the equation of a line do?
The equation of a line expresses the relationship of each x to its corresponding y to give an ordered pair (x, y) that lies on the line. Ordered pairs (x, y) that don’t lie on the line will not satisfy the equation.
What information can be given to write the equation of a line?
To write the equation of a line it is necessary to know the slope and the y intercept. There are three possibilities which depend on the data available. In this case both the slope and the y intercept are known and the equation can be written directly.
Why is it important to understand the equation of a line?
Linear equations are an important tool in science and many everyday applications. They allow scientist to describe relationships between two variables in the physical world, make predictions, calculate rates, and make conversions, among other things. Graphing linear equations helps make trends visible.
How do you write an equation for the same line?
The two most common forms for writing the equation of a line are y=mx+b (slope-intercept form) and y−y1=m(x−x1) (point-slope form), where m is the slope of the line, and b is the y-intercept.
What two values do you need to know to write an equation of a line?
What is the formula for finding the equation of a line?
Equation of a Line. The standard form of line equation is Ax + By = C where A, B and C are real numbers, A 0 and x, y are variables.
How do you find the equation of a line?
Community Answer. The equation for a line is, in general, y=mx+c. To find the equations for lines, you need to find m and c. m is the slope. For example, if your line goes up two units in the y direction, for every three units across in the x direction, then m=2/3.
How do you find the equation of a line graph?
A linear equation produces a line graph. The equation takes the form y = mx + b, where m is the slope and b is the y intercept.
How do you write an equation of a line with slope?
The slope-intercept form is one way to write a linear equation (the equation of a line). The slope-intercept form is written as y = mx+b, where m is the slope and b is the y-intercept (the point where the line crosses the y-axis). It’s usually easy to graph a line using y=mx+b.