Given a the line y=2.5x+4, find line whose graph:
is parallel to the graph of the given line.

y=2.5x+10

Step-by-step explanation:

The given line is y=2.5x+4.

Here, the slope of the line, and

the y-intercept of the line, .

The graph of the line has been shown in the figure.

The parallel lines never intersect each-other and always have a fixed distance between then.

Mathematically, a line having the slope, m, and the y-intercept, C, i.e

y=mx+C is parallel to the given line if it has equal slopes, , and different intercepts, .

So, the equation of the parallel line is

y=2.5x+C, where .

For example, take C=10 than the equation of a parallel line is

y=2.5x+10 has been shown in the graph.

Like this, there are infinitely many possible parallel lines to the given line.

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step-by-step explanation:

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