Question

Find at least three solutions to the equation y = 3x - 1, and graph the solutions as points on the coordinate plane.Connect the points to make a line. Find the slope of the line.

Answer 1

To find a solution to the equation y = 3x - 1, we have to replace a variable by a number and compute the other variable.

Assuming x = 0, then

y = 3(0) - 1

y = 0 - 1

y = -1

Then, the point (0, -1) is a solution

Assuming x = 1, then

y = 3(1) - 1

y = 3 - 1

y = 2

Then, the point (1, 2) is a solution

Assuming x = 2, then

y = 3(2) - 1

y = 6 - 1

y = 5

Then, the point (2, 5) is a solution

In the next graph, the solutions and the line are shown

The slope of the line that passes through the points (x1, y1) and (x2, y2) is computed as follows:

`m=(y_2-y_1)/(x_2-x_1)`

Replacing with points (0, -1) and (1,2) we can compute the slope, as follows:

`m=(2-(-1))/(1-0)=3`