Find out the slope of equations, Mathematics

Example:  find out the slope of equations and sketch the graph of the line.

                        2 y - 6x = -2

Solution

To get the slope we'll first put this in slope-intercept form and then the slope will simply be the coefficient of the x (with sign). In order to graph the line we know the y-intercept of the line, that's the number without an x (with sign) and as discussed above we can employ the slope to determine a second point on the line.  At that instance there isn't anything to do other than sketch the line.

First solve the equation for y. 

                              2 y = 6 x - 2

                                    y = 3x -1

Thus, the slope for this line is 3 and the y-intercept is the point (0, -1).  Don't forget to take the sign while determining the y-intercept.  Now, to determine the second point usually we like the slope written as a fraction to make it apparent what the rise & run are.  So,

                                 m = 3 = 3/1 = rise /run    ⇒        rise = 3,  run = 1

Then the second point is,

x2  = 0 + 1 = 1                        y2  = -1 + 3 = 2   ⇒     (1, 2)

Following is a sketch of the graph of the line.

466_Find out the slope of equations.png

Posted Date: 4/6/2013 6:02:05 AM | Location : United States







Related Discussions:- Find out the slope of equations, Assignment Help, Ask Question on Find out the slope of equations, Get Answer, Expert's Help, Find out the slope of equations Discussions

Write discussion on Find out the slope of equations
Your posts are moderated
Related Questions
Properties of Integration

A local police precinct has seen a recent enhance in the number of complaints filed regarding how officers are interacting with the public. Before addressing the issue, the command

How should shoppers Stop develop its demand forecasts?

bunty and bubly go for jogging every morning. bunty goes around a square park of side 80m and bubly goes around a rectangular park with length 90m and breadth 60m.if they both take

Explain Histogramsin details? Another way to display frequencies is by using a histogram. The following is an example of a histogram using the data from the previous example:

Sam's age is 1 less than double Shari's age. The sum of their ages is 104. How old is Shari? Let x = Shari's age and let y = Sam's age. Because Sam's age is 1 less than twice S

how do you learn about equivelant fractions


Find out the x-y coordinates of the points in which the following parametric equations will have horizontal or vertical tangents. x = t 3 - 3t        y = 3t 2 - 9 Solut

how to create an activity of tower of hanoi