Question

Can I get some help with this problem?Graph the equations to determine the solution to the system.

Answer 1

For the first equation;

The slope(m) is -3

The y-intercept(y) is 2

For the second equation;

The slope(m) is 2

The y-intercept(b) is -3

The solution of the system of equations is (-1, 1)

Step-by-step explanation:

Given the below system of equations;

`\begin{gathered} y=-3x+2\ldots\ldots\ldots\ldots\text{Equation 1} \\ y=2x-3\ldots\ldots.\ldots\ldots\text{.}\mathrm{}\text{Equation 2} \end{gathered}`

Recall that 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

If we compare the slope-intercept equation with the given equations, we can deduce that for Equation 1;

The slope(m) is -3

The y-intercept(y) is 2

For the Equation 2;

The slope(m) is 2

The y-intercept(b) is -3

Below is the graph of the system of equations;

The point of intersection (-1, 1) of both lines is the solution of the system of equations