When we move terms around, we do so exactly as we do when we solve equations! Write an equation in slope intercept form given the slope and y-intercept.
Writing an Equation Given the Slope and Y-Intercept Write the equation for a line that has a slope of -2 and y-intercept of 5. What will we look for in the problem? We need to find the least common multiple LCM for the two fractions and then multiply all terms by that number! Example 2 demonstrates how to write an equation based on a graph.
The following are examples of a rate: Continue reading for a couple of examples! Solution Slope intercept form is the more popular of the two forms for writing equations. Equations that are written in standard form: In the example above, you were given the slope and y-intercept. We now know that standard form equations should not contain fractions.
There is one other rule that we must abide by when writing equations in standard form. Is your graph rising from left to right? I substituted the value for the slope -2 for m and the value for the y-intercept 5 for b.
Real World Problems When you have a real world problem, there are two things that you want to look for! Remember standard form is written: The variables x and y should always remain variables when writing a linear equation.
For standard form equations, just remember that the A, B, and C must be integers and A should not be negative. All you need to know is the slope rate and the y-intercept. Solution That was a pretty easy example. How do we write an equation for a real world problem in slope intercept form? However, you must be able to rewrite equations in both forms.
Our first step is to eliminate the fractions, but this becomes a little more difficult when the fractions have different denominators!
If you find that you need more examples or more practice problems, check out the Algebra Class E-course. Whatever you do to one side of the equation, you must do to the other side!
Calculate the slope from the y-intercept to the second point.To summarize how to write a linear equation using the slope-interception form you Identify the slope, m. This can be done by calculating the slope between two known points of the line using the slope formula.
Slope intercept form is the more popular of the two forms for writing equations.
However, you must be able to rewrite equations in both forms. For standard form equations, just remember that the A, B, and C must be integers and A should not be negative. The slope intercept form equation is expressed as y = mx + c, where 'm' represents the slope of the line and 'c' represents the y-intercept of a line.
You can find the equation of a straight line based on the slope and y-intercept using this slope intercept form calculator. Write the equation for a line that has a slope of -2 and y-intercept of 5.
NOTES: I substituted the value for the slope (-2) for m and the value for the y-intercept (5) for b. The variables x and y should always remain variables when writing a linear equation.
This is called the slope-intercept form because "m" is the slope and "b" gives the y-intercept. (For a review of how this equation is used for graphing, look at slope and graphing.). I like slope-intercept form the best. Linear equations can take several forms, such as the point-slope formula, the slope-intercept formula, and the standard form of a linear equation.
These forms allow mathematicians to describe the exact same line in different ways.Download