3x 2y 16 in slope intercept form

Step 3: Plot the y -intercept point on the graph. Step 4: Use the slope to find a second point on the graph. Starting on the y-intercept 2, 0we will go down 3 and run right 5. Step 5: Draw the graph.

In previous chapters we solved equations with one unknown or variable. We will now study methods of solving systems of equations consisting of two equations and two variables. Upon completing this section you should be able to: Represent the Cartesian coordinate system and identify the origin and axes. Given an ordered pair, locate that point on the Cartesian coordinate system. Given a point on the Cartesian coordinate system, state the ordered pair associated with it. Note that this concept contains elements from two fields of mathematics, the line from geometry and the numbers from algebra. Rene Descartes devised a method of relating points on a plane to algebraic numbers.

3x 2y 16 in slope intercept form

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The plane is divided into four parts called quadrants.

Wiki User. It is in slope intercept form. The slope is 0 and the y-intercept is What is the slope-intercept form of 7x-3y equals 4. Log in. Study now See answer 1.

We have graphed linear equations by plotting points, using intercepts, recognizing horizontal and vertical lines, and using the point—slope method. Substituting into the slope formula:. The equation of this line is:. To find the slope of the line, we need to choose two points on the line. In Understand Slope of a Line , we graphed a line using the slope and a point. This equation is not in slope—intercept form. Not all linear equations can be graphed on this small grid. Now that we have seen several methods we can use to graph lines, how do we know which method to use for a given equation? While we could plot points, use the slope—intercept form, or find the intercepts for any equation, if we recognize the most convenient way to graph a certain type of equation, our work will be easier.

3x 2y 16 in slope intercept form

When you graph linear equations, you may notice that some lines tilt up as they go from left to right and some lines tilt down. Some lines are very steep and some lines are flatter. In mathematics, the measure of the steepness of a line is called the slope of the line. The concept of slope has many applications in the real world. In construction the pitch of a roof, the slant of the plumbing pipes, and the steepness of the stairs are all applications of slope. We can assign a numerical value to the slope of a line by finding the ratio of the rise and run. The rise is the amount the vertical distance changes while the run measures the horizontal change, as shown in this illustration. Slope is a rate of change. The rise measures the vertical change and the run measures the horizontal change. To find the slope of a line, we locate two points on the line whose coordinates are integers.

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Solution Placing the equation in slope-intercept form, we obtain Sketch the graph of the line on the grid below. Such equations are said to be in standard form. All the intersecting lines or non-parallel lines are concurrent. What is the slope-intercept form of 7x-3y equals 4? The point 3,1 will be easy to locate. Using this information, graph x When the graph of the line goes through the origin, any other point on the x- or y-axis would also be a good choice. Upon completing this section you should be able to: Graph two or more linear inequalities on the same set of coordinate axes. Here you need to know the coordinates of 2 points on a line, x 1 , y 1 and x 2 , y 2. To graph the solution to this system we graph each linear inequality on the same set of coordinate axes and indicate the intersection of the two solution sets. Such first-degree equations are called linear equations. If the point chosen is not in the solution set, then the other halfplane is the solution set. We need to do a little work in that department. Check one point that is obviously in a particular half-plane of that line to see if it is in the solution set of the inequality.

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Step 2 Substitute the value of x into the other equation. Forums New posts Search forums. Section dealt with solving literal equations. This region is shown in the graph. Dependent equations The two equations give the same line. We are ready to put our equation together. The actual point of intersection could be very difficult to determine. A common error that many students make is to confuse the y-intercept with the x-intercept the point where the line crosses the x-axis. In the same manner the solution to a system of linear inequalities is the intersection of the half-planes and perhaps lines that are solutions to each individual linear inequality. Last edited: Jul 11,