3x 2y 16 in slope intercept form

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.

The slope of a line is its vertical change divided by its horizontal change, also known as rise over run. When you have 2 points on a line on a graph the slope is the change in y divided by the change in x. Input two points using numbers, fractions, mixed numbers or decimals. The slope calculator shows the work and gives these slope solutions:. You will also be provided with a custom link to the Midpoint Calculator that will solve and show the work to find the midpoint and distance for your given two points. Here you need to know the coordinates of 2 points on a line, x 1 , y 1 and x 2 , y 2.

3x 2y 16 in slope intercept form

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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. Determine the equations and solve the word problem. This is done by first multiplying each side of the first equation by

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.

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.

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Determine the region of the plane that is the solution of the system. Solve equations and inequalities Simplify expressions Factor polynomials Graph equations and inequalities Advanced solvers All solvers Tutorials. Do this before going on. This will result in the same line. Compare these tables and graphs as in example 3. Example 1 Solve by addition: Note that we could solve this system by the substitution method, by solving the first equation for y. Related questions. Inconsistent equations have no solution. We say "apparent" because we have not yet checked the ordered pair in both equations. Solve the system by substitution. Find slope by finding the difference in the y points, and divide that by the difference in the x points. In this case, solving by substitution is not the best method, but we will do it that way just to show it can be done. To graph a linear inequality 1. The value of m is 6, therefore the slope is 6.

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Continue Learning about Other Math. Study the diagram carefully as you note each of the following facts. We will now study methods of solving systems of equations consisting of two equations and two variables. Find slope by finding the difference in the y points, and divide that by the difference in the x points. Determine the region of the plane that is the solution of the system. Compare these tables and graphs as in example 3. Note that we could solve this system by the substitution method, by solving the first equation for y. Step 5 If we check the ordered pair 4,-3 in both equations, we see that it is a solution of the system. Remember, x is written first in the ordered pair. To solve a system of two equations with two unknowns by addition, multiply one or both equations by the necessary numbers such that when the equations are added together, one of the unknowns will be eliminated. Since the solution 2,-1 does check.