How would you graph the two linear equations on a coordinate plane? Graph the system of equations in the same coordinate plane and determine the number of solutions for the system. If there is exactly one solution, write it as an ordered pair.
y = 3x + 1
y = 2x +2

Question

juliejackson45 juliejackson45

30-12-2022
Mathematics

Answered

How would you graph the two linear equations on a coordinate plane? Graph the system of equations in the same coordinate plane and determine the number of solutions for the system. If there is exactly one solution, write it as an ordered pair.
y = 3x + 1
y = 2x +2

Answer :

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sqdancefan sqdancefan · Answer 1 · 2022-12-30T22:59:54-05:00

Answer:

one solution: (1, 4)

Step-by-step explanation:

You want the graphs and number of solutions to the system of equations ...

y = 3x +1
y = 2x +2

Graph

The graph is attached. The first equation has a y-intercept of +1 and a slope of 3. The second equation has a y-intercept of +2 and a slope of 2.

The different slopes mean there is exactly one solution. The graph shows that solution to be (x, y) = (1, 4).

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Additional comment

The slope is the x-coefficient when the equations are written in this "slope-intercept" form. It is the "rise/run" for the line on the graph. A slope of 3, for example, means the line has a rise of 3 grid squares for a run of 1 square (to the right). Knowing the y-intercept and slope makes it easy to graph the line.

How would you graph the two linear equations on a coordinate plane? Graph the system of equations in the same coordinate plane and determine the number of solutions for the system. If there is exactly one solution, write it as an ordered pair. y = 3x + 1 y = 2x +2

Answer :

Graph

Other Questions

How would you graph the two linear equations on a coordinate plane? Graph the system of equations in the same coordinate plane and determine the number of solutions for the system. If there is exactly one solution, write it as an ordered pair.
y = 3x + 1
y = 2x +2