Question

Graph the following equations: y= 2/1x + 3 y= 1/1x - 2 b what is the solution to the system that was graphed?

Answer 1

b) The solution of the system of equations is (-5, -7) where x = -5 and y = -7

Step-by-step explanation:

The slope-intercept form of the equation of a line is generally given as;

`y=mx+b`

where m = slope of the line

b = y-intercept of the line

Given the below equations;

`\begin{gathered} y=2x+3 \\ y=x-2 \end{gathered}`

For the 1st equation, we can see that the slope(m) is 2, and the y-intercept is 3.

For the 2nd equation, we can see that the slope(m) is 1 and the y-intercept is -2.

See below the graph of both lines;

b) Note that when a system of equations is graphed, the point of intersection is the solution of the system.

Looking at the above graph, we can see that the two lines intersect at the point where x = -5, and y = -7. Therefore, the solution of the given system of equations is (-5, -7)