To graphically solve the system of equations, we need to plot the graphs of both equations and find the point at which they intersect.
1. First, let's graph the equation y = -2x - 1. This is a linear equation in slope-intercept form, where m is the slope (-2) and b is the y-intercept (-1). Start by plotting the y-intercept at (0, -1), then use the slope to find additional points. From the y-intercept, move one unit to the right and two units down to get the point (1, -3), then one unit to the right and two units down again to get the point (2, -5). Connect these points to get the graph of the equation.
2. Next, let's graph the equation 3x - y = -7. This equation is not in slope-intercept form, so we need to rearrange it to solve for y. Subtract 3x from both sides to get -y = -3x - 7, then multiply by -1 to get y = 3x + 7. This equation also has a slope m of 3, but a different y-intercept of 7. Start by plotting the y-intercept at (0, 7), then use the slope to find additional points. From the y-intercept, move one unit to the right and three units up to get the point (1, 10), then one unit to the right and three units up again to get the point (2, 13). Connect these points to get the graph of the equation.
3. Finally, find the point where the two graphs intersect. This point represents the solution to the system of equations. From the graph, it appears that the point of intersection is approximately (-1.6, 2.2).
Therefore, the solution to the system of equations graphically is (-1.6, 2.2).
Solve the system of equations graphically. You can use your graphing calculator! y=−2x−1 3x − y =−7 (1 point) Responses Solution is (-1.6, 2.2 ) Solution is (-1.6, 2.2 ) Solution is (-1.5, 0) Solution is (-1.5, 0) Solution is (0, 2) Solution is (0, 2) Solution is (-1, -1) Solution is (-1, -1) Skip to navigation
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