System of linear equation for graph below

See below

Step-by-step explanation:

For the line on top, we know the slope is negative because it is going down. We can find the slope by counting how much the point goes down and to the right. Y-intercept is the point on the y-axis.

slope: -3

y-intercept: 2

Now that we have the slope and y-intercept, we know the equation is y=-3x+2.

For the second line, we know the slope is positive because it is going up. Since slope is rise/run, we can see it rises 1 unit and runs to the right by 2 units. Y-intercept is the point on the y-axis.

slope: 1/2

y-intercept: -5

With our slope and y-intercept, we know our equation.

y=1/2x-5

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