Choose the graph that matches the following system of equations: (6 points)

4x + y = −1
3x + 2y = 8

picture of coordinate plane with line y equals negative 4x minus 1 and line y equals minus 3 over 2 times x plus 4. They intersect at negative 2 , 7
picture of coordinate plane with line y equals 4x minus 1 and line y equals negative 3x plus 8. They intersect at 1.29, 4.14
picture of coordinate plane with line y equals negative 4x minus 1 and line y equals 3 halves x plus 8. They intersect at negative 1.64, 5.55
picture of coordinate plane with line y equals 4x minus 1 and line y equals negative 3x plus 4. They intersect at 0.71, 1.86

The graph that matches the following system of equation is; the picture of a coordinate plane with line y equals negative 4x minus 1 and line y equals minus 3 over 2 times x plus 4. They intersect at negative 2, 7.

What is the graph of a function?

The graph of a function y = f(x) shows the position of the x-intercepts and y-intercepts from the graph from which the slope can be drawn.

The system of linear equations can be rewritten in slope-intercept form as follows:

y = -4x - 1

y = -3/2x + 4

From the graph, the two equations intercept at point (-2,7).

Learn more about plotting the graph of a function here:

https://brainly.com/question/3939432

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