graphing a set of linear equations - Graph the system of linear equations below on the same set of axes and label the point of intersection with its coordinates.

Sangeetha Pulapaka (last edited 4 years ago) (Expert, Educator @Qalaxia)

Step 1: Recall what are x-intercepts and y-intercepts.

The x-intercept is the point at which the graph touches the x-axis. There is no y value on the x-axis and the y-intercept is the point at which the graph touches the y-axis. There is no x value on the y-intercept.

Step 2:

Find the x- and the y-intercepts of a linear equation y = 2 x - 3

Plug in x = 0, in y = 2 x +3 to get y = 3

Plug in y = 0 in y = 2 x + 3 to get x = \frac{-2}{3} = -1.5

Step 3:

Plot the x- and the y-intercepts on the graph and join the points

Step 4: Find the x- and the y-intercepts for the linear equation y = x + 1

Plug in x = 0 to get y = 1

Plug in y = 0 to get x = -1

Step 5 : Plot the x- and the y-intercepts on the graph and join the points

Step 6: Mark the point of intersection

They will meet at (-2,-1)