Solve y=5x-4 in a y=mx+b format, and determine if it forms a system with one solution, no solution, or infinite solutions

1 answer

The equation y=5x-4 can be rewritten in the form y=mx+b as y=5x-4. Therefore, in y=mx+b format, the equation is y=5x-4.

Since this equation is already in slope-intercept form, it represents a linear equation with a slope of 5 and a y-intercept of -4.

To determine if this equation forms a system with one solution, no solution, or infinite solutions, we would need another linear equation. If we had another equation that intersects this one at exactly one point, then the system would have one solution. If the two equations are parallel and do not intersect, then the system would have no solution. If the two equations are equivalent and represent the same line, then the system would have infinite solutions.

Without another equation to compare with, we cannot determine if this equation forms a system with one solution, no solution, or infinite solutions.
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