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d1i1m1o1n [39]
2 years ago
12

Why do equivalent ratios form a straight line when graphed? Explain.

Mathematics
1 answer:
irina1246 [14]2 years ago
8 0

Answer:

The y-values of equivalent ratios increase at the same rate as their x-values. The vertical distance between points is constant, and the horizontal distance between points is constant. This forms a straight line.

Step-by-step explanation:

Equivalent proportions (which are, as a result, equal parts) are two proportions that express a similar connection between numbers. We can make comparable proportions by duplicating or separating both the numerator and denominator of a given proportion by a similar number.

Two ratios that have the same value are called equivalent ratios. To find an equivalent ratio, multiply or divide both quantities by the same number. It is the same process as finding equivalent fractions.

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Find a equation of a line that is perpendicular to y=-4x+3 and passes through the point (4,-1).
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Given:

The given equation is:

y=-4x+3

A line is perpendicular to the given line and passes through the point (4,-1).

To find:

The equation of required line.

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The slope intercept form of a line is:

y=mx+b

Where, m is slope and b is y-intercept.

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y=-4x+3

Here, the slope of the line is -4 and the y-intercept is 3.

Let the slope of required line be m.

We know that the product of slopes of two perpendicular lines is -1. So,

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