Solve the following system of equations graphically on the set of axes below.
y = -1/3 x – 5
x – y = -3
Plot two lines by clicking the graph.
Click a line to delete it.
Solve the following system of equations graphically on the set of axes below. y = -1/3 x – 5 x – y = -3 Plot two lines by clicking the graph. Click a line to delete it
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To solve the system of equations graphically, we’ll first rearrange both equations into the slope-intercept form (y = mx + b), if needed, and then plot them on the graph.
1. First Equation:
( y = -frac{1}{3}x – 5 )
This line has a slope of -1/3 and a y-intercept at -5.
2. Second Equation:
Rearranging ( x – y = -3 ) gives us:
( y = x + 3 )
This line has a slope of 1 and a y-intercept at 3.
Steps to Graph:
– Start with the first equation. Mark the point (0, -5) on the graph for the y-intercept, and plot another point using the slope. From (0, -5), go up 1 unit and right 3 units to get a second point at (3, -4). Draw the line through these points.
– Next, for the second equation, mark the point (0, 3) on the graph for the y-intercept, and plot a second point using the slope. From (0, 3), go up 1 unit and right 1 unit to get a second point at (1, 4). Draw the line through these points.
Finding the Intersection:
The intersection of the two lines is the solution