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Because a linear function just has to be a strait line which is not vertical at any point (stait), the two lines can be positioned anywhere on a graph with the same y intercepts. For instance, you could have a big "x" on the graph, where the lines cross on the y line, and have their y intercepts be the same.

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Q: Why can two different linear functions have the same y-intercept?
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Whats Difference between linear equation to linear function?

A linear equation contains only the first power of the unknown quantity. Thus, 5x - 3 = 7 and x/6 = 4 are both linear equations. Linear equations have only one solution which is the value of the unknown that when substituted in the equation , makes the left hand side equal to the right hand side.Linear functions have the same limitation in terms of only containing the first power of the unknown quantity. They yield graphs that are straight lines and thus the name 'linear' is used. A simple linear function is f:x →2x + 1. This can also be written as f(x) = 2x + 1 or another identifying letter used such as y = 2x + 1. Consequently, for different values of the unknown quantity (in this case 'x') then the function also yields a different value.


What is the difference between a linear graph and a non-linear graph?

linear: LINE example--- line non-linear: not a LINE example--- parabola The other possibility is a graph with a non-linear scale. First a linear scale will have each unit represent the same amount, regardless of where you are on the scale. A semilog scale, has a linear scale in the horizontal direction, and a logarithmic scale in the vertical direction. Exponential functions (such as ex & 10x), will graph as a straight line on this type of graph scale). A logarithmic or log-log scale, has logarithmic scales on both horizontal and vertical axis. Power functions (such as sqrt(x), x2 and x3), graph as a straight line on these scales. See Related Link


Does in linear graphs the slope of the line change with the x-coordinate?

No. A linear graph has the same slope anywhere.


Do linear relationships show the same slope between any two points on a line?

Depends on your definition of "linear" For someone taking basic math - algebra, trigonometry, etc - yes. Linear means "on the same line." For a statistician/econometrician? No. "Linear" has nothing to do with lines. A "linear" model means that the terms of the model are additive. The "general linear model" has a probability density as a solution set, not a line...


Is linear feet the same as feet as in 12 inches?

Yes 1 linear feet is almost equal to 12 inches.