Question

Please help, I can't figure out where to plot my points.

Answer 1

Answer:

Solution: (x, y) = (-1, 3)

Step-by-step explanation:

When graphing an equation written in slope-intercept form, it is usually convenient to plot the y-intercept, then use the value of the slope to work from there to find another point.

y = -x +2

The y-intercept is +2, meaning that the point (0, 2) is on the line. The coefficient of x is -1, so the line will go down 1 unit (-1) for each unit to the right. Conversely, it will go up one unit for each unit to the left. Thus points (1, 1) and (-1, 3) are both on this line.

You can continue in like fashion to find other points on the line. If you're drawing the graph by hand, you may want points that are 5 or more units apart, so you might choose one that is right 5 and down 5: (5, -3).

y = 4x + 7

As with the other equation, it can be convenient to start with the y-intercept, (0, 7). The slope of 4 tells you the line goes up 4 units for each unit to the right. That makes the point (1, 11) be a point on the line. However, it is beyond the edge of the graph you're given.

So, it will work better to go the other way: 1 unit left and down 4 units to (-1, 3) or (-2, -1). You may have noticed that the point (-1, 3) is on both lines, hence is the solution to the system.