Question

Kuta Software - Infinite Algebra 2 Name Systems of Two Equations Date Solve each system by graphing. 1) y=-3x + 4 y= 3x - 2 2) y=x+2 x=-3 5

Answer 1

Answer:

Solution of the system of equations: (1, 1)

x = 1, y = 1

Explanation:

Given the below system of equations;

$\begin{gathered} y=-3x+4 \\ y=3x-2 \end{gathered}$

Note that the slope-intercept form of the equation of a line is given as;

$y=mx+b$

where m = slope of the line

b = y-intercept of the line

Comparing the given system of equations with the slope-intercept equation, we can see that, for the 1st equation (y = -3x + 4), the slope(m) = -3 and y-intercept(b) = 4 and for the 2nd equation, slope(m) = 3 and y-intercept(b) = -2.

Knowing the above information, let's go ahead and graph the system of equations;

From the above graph, the point of intersection of the two lines (1, 1) is the solution of the system of equation.

Answer 2

Answer:

1 - (1,1)

2 - (-35,-33)

View the attached for the graphs from Desmos.

Step-by-step explanation:

Finding the system of equations means finding the point where they intersect. Use a graphing calculator such as Desmos to find the system of equations.

Problem 1

y=-3x+4: Slope is -3 and y-intercept is 4.

y=3x-2: Slope is -3 and y-intercept is 4.

(1,1)

Problem 2.

y=x+2: Slope is 1 and y-intercept is 2.

x=-35: Slope is undefined and x-intercept is -35.

(-35,-33)