Y equals negative 5X +7

Question

Y equals negative 2X +10
Estimate the solution of the system of these linear equations based on the graph
Why equals negative 5X +7
Y equals negative 2X +10

Answer 1

First, let's graph the two equations to visualize where they intersect:

The first equation Y = -5X + 7 can be graphed as follows:
- Start with the y-intercept of 7 on the y-axis.
- Use the slope of -5 to plot a second point. For example, if you move down 5 units and right 1 unit from the y-intercept, you will land at the point (1, 2).
- Connect the two points to create a line.

The second equation Y = -2X + 10 can be graphed similarly:
- Start with the y-intercept of 10 on the y-axis.
- Use the slope of -2 to plot another point. If you move down 2 units and right 1 unit from the y-intercept, you will land at the point (1, 8).
- Connect the two points to create a line.

The point of intersection between these two lines will be the solution to the system of equations. From the graph, it appears that the lines intersect at approximately (1.5, 0), which would be the estimated solution to the system of linear equations.