A system of equations is graphed on the grid. Which system of equations does the graph represent?

The system of equations is given by: y = x + 4 and y = -2x - 4

A linear equation is given by:

y = mx + b;

where y, x are variables, m is the rate of change and b is the y intercept.

The first line passes through point (-1, 3) and (1, 5) hence:

The second line passes through point (-4, 4) and (-1, -2) hence:

The system of equations is given by: y = x + 4 and y = -2x - 4

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y = x + 4

y = -2x - 4

Step-by-step explanation:

Since equation of the line having slope 'm' and y-intercept 'b' is given by,

y = mx + b

Slope of a line passing through two points and is,

m =

Slope of line passing through (1, 5) and (-1, 3),

m = = 1

y-intercept 'b' = 4

Therefore, equation of the line is,

y = 1.x + 4

y = x + 4

Now slope of another line passing through (-4, 4) and (-1, -2) will be,

m =

m = -2

y-intercept 'b' of this line = -4

Equation of the other line,

y = (-2)x - 4

y = -2x - 4

Therefore, system of equations is,

y = x + 4

y = -2x - 4

(c, 0) i might be wrong so don't put full faith on my answer