Answer:
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)
Explanation:
Given the below system of equations;
[tex]\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}[/tex]
Recall that the slope-intercept form of the equation of a line is generally given as;
[tex]y=mx+b[/tex]
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
