Question

How do you graph y – 5x = - 2 using a table of values.

Answer 1

Hint: We are given with a linear equation in two variables. Now first we will rearrange the equation in the form y = ax + b. Now we will substitute different values of x and find corresponding different values of y. Hence we get the solutions (x, y) for the given equation. Now we will plot the point (x, y) on a graph and draw a line passing through the points. Hence we have the graph of the equation.

Complete step-by-step solution:
Now let us consider the given equation y – 5x = -2.
Transposing the term 5x to RHS we get, y = 5x – 2.
To find the table of values we will find the pairs of solutions of the equation.
Now we will substitute different values of x and find corresponding values of y.
Now let us first put x = 0 then we get, y = 5(0) – 2 Hence y = - 2.
Now let us substitute x = 1 then we get y = 5(1) – 2 Hence y = 3.
Similarly by substituting x = 2 we get y = 5(2) – 2 Hence y = 8.
Now we have the following pair of solutions.

x	y
0	-2
1	3
2	8

Now we will plot the points (0, -2), (1, 3) and (2, 8) on the graph. Once we have these points we will draw a line passing through all these points. Hence we have the graph of the equation
y – 5x = -2.

Hence we have the graph of the given equation.

Note: Note that only one line can be passed through two given points and to define a line minimum two points are needed. Hence we should take at least two different set of solutions while plotting the graph.