Representing simultaneous equations graphically (Part 1)

Maths

Solving linear simultaneous equations graphically

Fill in the gaps: We can use ____ to solve simultaneous equations.

What are the coordinates of the points of intersection for y = x + 5 and y = -2x - 1?

Use a graph to solve y = x + 5 and y = -2x - 1 simultaneously.

Create equations for the following statements: "I'm thinking of 2 numbers that have a sum of 3", "I'm thinking of 2 numbers. I triple the first number and add the second to get -1".

Find the values of x and y that are true for both of the following statements: "I'm thinking of 2 numbers that have a sum of 3", "I'm thinking of 2 numbers. I triple the first number and add the second to get -1".

Please use this graph for all the questions:

What are the equations of the lines in the graph?

Estimate the point of intersection for the lines in the graph.

Decrease the gradient or increase the y-intercept.

Decrease the gradient or the y-intercept.

Increase the gradient or decrease the y-intercept.

Increase the gradient or the y-intercept.

How would you change y = 4x - 2 in order to increase the x-ordinate of the point of intersection?

How would you change y = 4x - 2 in order to increase the y-ordinate of the point of intersection?

How would you change y = -x - 1 in order to decrease the x-ordinate of the point of intersection?

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Representing simultaneous equations graphically (Part 1)

Lesson outcome