Answer
The solution for the two system of equations is (-4,2)
Explanation
Equation for slope-intercept
The equation for slope-intercept form is y = mx + b
-mx represents the slope of the equation
-b represents the y-intercept
Determine the slope and the y-intercept
The slope of the two equations can be found based on what the number in front of the x is, this term is also called the coefficient.
The y-intercept is in the form of b and is substituted normally by a positive or negative integer.
Slope: 1/4 and 2
Y-intercept: 3 and 10
You must graph these, for this problem I have provided one for you.
Determining the solution
Since this problem requires you to find the solution based on the graph you must graph the two lines and the solution is the point in which the two lines intersect.
Based on the graph I have provided for you, we can determine that the solution is (-4,2)
Checking your work
In math it's very important to check your work: plug in the solution and if it is a perfect math then the solution is correct.
[tex]\frac{1}{4} (-4)+ 3 = 2[/tex]
The solution applies to the first equation, however we must now check for the second equation.
[tex]2(-4) + 10 = 2[/tex]
The solution also applies to the second equation, so we now know that this solution is correct.
