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Does the graph of a system of equations with different slopes have no solutions?
The graph of a system of equations with the same slope will have no solution, unless they have the same y intercept, which would give them infinitely many solutions. Different slopes means that there is one solution.
How does changing the signs of the coefficients affect the graph of a polynomial?
For a polynomial of order n there are n+1 coefficients that can be changed. There are therefore 2^(n+1) related polynomials with coefficients of the same absolute values. All these generate graphs whose shapes differ.If only the constant coefficient is switched, the graph does not change shape but moves vertically. If every coefficient is switched then the graph is reflected in the horizontal axis. For all other sign changes, there are intermediate changes in the shape of the graph.
What equation is whose graph is parallel to the graph of y0.5x-10?
If you mean: y = 0.5x-10 then an equation parallel to it will have the same slope of 0.5 but a y intercept different to -10
How can a table be more informative than the graph with the same data?
A graph can be more useful for making presentations because it is more visual, and it can be easier to recognize a pattern in a graph for the same reason. However, a graph doesn't have any more data than a table with the same data.
Is a coordinate graph the same as a coordinate plane?
no, coordinate graph is a graph made on a coordinate plane i.e xy-plane
