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Which equation does the graph of the systems of equations solve? (1 point) 2 linear graphs. They intersect at negative 1, 1

Which equation does the graph of the systems of equations solve? (1 point) 2 linear-example-1
User Dkellygb
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1 Answer

3 votes

Answer:

3x +4 = -2x -1

Explanation:

The line that goes up to the right has a y-intercept of +4. This is where it crosses the y-axis. It's slope (rise/run) is 3/1 = 3, so its equation in slope-intercept form is ...

y = mx +b . . . . where m is the slope, b is the y-intercept

y = 3x +4

The other line has a negative slope and a y-intercept of -1. The slope of that line is rise/run = -2/1 = -2, so its equation is ...

y = -2x -1

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The solution point will have the x-coordinate that is the solution of the equation ...

y = y

3x +4 = -2x -1 . . . . . . substituting the above expressions for y.

User Roerjo
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