9.3 – Graphing Linear Equations

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Presentation transcript:

9.3 – Graphing Linear Equations Math 50 9.3 – Graphing Linear Equations

Here’s an equation with two variables: 𝑥+𝑦=3 Solutions to this equation can be written as ordered pairs:

Ex 1. Determine whether (−4, 3) is a solution to the equation 2𝑥+3𝑦=12 Ex 1. Determine whether (−4, 3) is a solution to the equation 2𝑥+3𝑦=12. Ex 2. Determine whether 3, 2.5 is a solution to the equation 𝑦= 1 2 𝑥+1.

Ex 3. Find three solutions for the equation 3𝑥+𝑦=3. Ex 4 Ex 3. Find three solutions for the equation 3𝑥+𝑦=3. Ex 4. Find three solutions for the equation 𝑦= 1 3 𝑥+4.

Graphing Linear Equations We can plot solutions to equations in two variables in a rectangular coordinate system. This is called graphing an equation.

Ex 5. Graph 3𝑥+𝑦=3.

Ex 5. Graph 3𝑥+𝑦=3.

Ex 5. Graph 3𝑥+𝑦=3.

Ex 5. Graph 3𝑥+𝑦=3.

Ex 5. Graph 3𝑥+𝑦=3.

Ex 6. Graph 𝑦= 1 3 𝑥+4.

Ex 6. Graph 𝑦= 1 3 𝑥+4.

Ex 6. Graph 𝑦= 1 3 𝑥+4.

Ex 6. Graph 𝑦= 1 3 𝑥+4.

Ex 7. Graph 𝑦=2.

Ex 7. Graph 𝑦=2.

Ex 7. Graph 𝑦=2.

Ex 7. Graph 𝑦=2.

Ex 7. Graph 𝑦=2.

Ex 7. Graph 𝑦=2.

Ex 8. Graph 𝑥=−3.

Ex 8. Graph 𝑥=−3.

Ex 8. Graph 𝑥=−3.

Ex 8. Graph 𝑥=−3.

Ex 8. Graph 𝑥=−3.

Ex 8. Graph 𝑥=−3.

A point where the graph intersects the 𝑥-axis is called an ___________ A point where the graph intersects the 𝑥-axis is called an ___________. A point where the graph intersects the 𝑦-axis is called a ____________.

A point where the graph intersects the 𝑥-axis is called an ___________ A point where the graph intersects the 𝑥-axis is called an ___________. A point where the graph intersects the 𝑦-axis is called a ____________. 𝒙-intercept

A point where the graph intersects the 𝑥-axis is called an ___________ A point where the graph intersects the 𝑥-axis is called an ___________. A point where the graph intersects the 𝑦-axis is called a ____________. 𝒙-intercept 𝒚-intercept

To find an 𝒙-intercept: 1. Replace 𝑦 with 0 in equation. 2. Solve for 𝑥.

To find a 𝒚-intercept: 1. Replace 𝑥 with 0 in equation. 2. Solve for 𝑦.

Ex 9. Find the coordinates of the 𝑥- and 𝑦-intercepts. 𝑥−4𝑦=8

Ex 10. Find the coordinates of the 𝑥- and 𝑦-intercepts. 𝑥=−3