What is the equation of a line
What does the equation of a line mean?
Definition: A straight line on the coordinate plane can be described by the equation. y = mx+b. where m is the slope of the line and b is the intercept.
What is the formula for equation of a straight 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.
What are the different equations of a line?
There are three major forms of linear equations: point-slope form, standard form, and slope-intercept form.
How do you graph a line from an equation?
To graph a linear equation, we can use the slope and y-intercept.Locate the y-intercept on the graph and plot the point.From this point, use the slope to find a second point and plot it.Draw the line that connects the two points.
What is the equation for 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.
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.
What is straight line math?
more A line that does not curve. In geometry a line is always straight (no curves).
What is the standard equation of a circle?
We know that the general equation for a circle is ( x – h )^2 + ( y – k )^2 = r^2, where ( h, k ) is the center and r is the radius. So add 21 to both sides to get the constant term to the righthand side of the equation. Then complete the square for the y terms.
How do you determine the slope of a line?
Using the Slope EquationPick two points on the line and determine their coordinates.Determine the difference in y-coordinates of these two points (rise).Determine the difference in x-coordinates for these two points (run).Divide the difference in y-coordinates by the difference in x-coordinates (rise/run or slope).
What is standard form slope?
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. A, B, C are integers (positive or negative whole numbers) No fractions nor decimals in standard form.
How do you plot a line?
The first step is to make sure that the equation of the line is in the Slope-Intercept Form, that is y = mx + b.Start by plotting the y-intercept which is (0, b).Find another point using the slope (m) with the y-intercept at the reference point.Connect the two points with a ruler.