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2 years ago

12

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

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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(a-b) ( a+b) simplify

BlackZzzverrR [31]

Answer:

$a^2 - b^2$

Step-by-step explanation:

1. $(a)(a)+(a)(b)+(-b)(a)+(-b)(b)$

2. $a^2 + ab - ab - b^2$

3. $a^2 - b^2$

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3 years ago

What is the point slope equation of a line with slope -4 that contains the point (-2,7)?

ad-work [718]

Point slope form: (y-y1)=m(x-x1)

Answer:
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Compare 10x(8+2) and 20x(8+2)

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3 years ago

For each pair of points below, think about the line that joins them. For which pairs is the line parallel to the y-axis? Circle

gogolik [260]

Answer:

Option B.

Step-by-step explanation:

If two lines are parallel then their slopes are always same.

Following this rule we can find the slope by the given pairs of coordinates of the options.

If the slope of the line is same as the slope of y axis then the line passing through these points will be parallel to the y axis.

Slope of y - axis = ∞

Option A). Slope = $\frac{y-y'}{x-x'}$

= $\frac{24-8.5}{3.22-3.2}$

= $\frac{15.5}{0.02}$

= 775

Therefore, line passing through points (3.2, 8.5) and (3.22, 24) is not parallel to y axis.

Option B). Slope of the line passing through $(\frac{40}{3},\frac{14}{3})$ and $(\frac{40}{3},7)$ will be

= $\frac{\frac{14}{3}-7}{\frac{40}{3}-\frac{40}{3}}$

= ∞

Therefore, line passing though these points is parallel to the y axis.

Option C). Slope of the line passing through $(2.9,5.4)$ and (7.2, 5.4)

= $\frac{5.4-5.4}{7.2-2.9}$

= 0

Therefore, slope of this line is not equal to the slope of y axis.

Option B. is the answer.

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