Q:

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

Accepted Solution

A:
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 +2The 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 + 7As 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.