11.3 Solving linear equations by graphing
Solving linear equations by graphing
We will learn how to plot linear equations, and then use the graphs as an aid to answer questions about the linear relations. Alternatively, we can find out the linear equations from their graphs. In addition, we will learn how to plot graphs and determine their equations when we are given the table of values of linear relations. We will also explore the concepts of interpolating and extrapolating data from graphs of linear equations.
Lessons

1.
A train travels at a speed of 120km/h. The equation that represents the relationship of distance (d) and time (t) is d=120t.

2.
The graph shows the relationship of the temperature of water, c, and time, t, as the water boils.

3.
Plot the graph for each set of values. Then, find the equation that represents each relationship.

4.
Mark ran a marathon. Below is the record of how he did.
Time, t (h)
Distance, d (km)
0.5
4.2
0.8
6.7
1.3
10.9
2.9
24.4
3.5
29.4
4.2
35.3