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3 years ago

The quantities x and y are proportional. Y 3 30 10 100 16 160 Find the constant of proportionality (r) in the equation y = rx.

Mathematics

2 answers:

enot [183]3 years ago

7 0

Answer:

Step-by-step explanation:

1 / 3

What times x gives us y?

Hint 2 / 3

If we multiply each x-value by 10

we get to each corresponding y-value:

y=10x

The constant of proportionality is y= r x is 10

Maslowich3 years ago

6 0

Answer:

The answer is 10

Step-by-step explanation:

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write an equation in slope intercept form of a line that passes through the point (14, 8) and is (a) parallel (v) perpendicular

svet-max [94.6K]

Answer:

$y-8=-\frac{7}{3} (x-14)$

Step-by-step explanation:

We can write the equation of a line in 3 different forms including slope intercept, point-slope, and standard depending on the information we have. We have a point and a slope from the equation. We will chose point-slope since we have a point and can find the slope.

Point slope: $y-y_1=m(x-x_1)$

We must find the slope using the slope formula.

Slope: $m=\frac{y_2-y_1}{x_2-x_1}$

We substitute $x_1=4\\y_1=9$ and $x_2=-3\\y_2=6$

$m=\frac{6-9}{-3-4}$

$m=\frac{6-9}{-3-4}=\frac{-3}{-7} =\frac{3}{7}$

$m\neq \frac{3}{7}$ in our new equation because it is perpendicular to it. This means we will need to change it into its negative reciprocal which is $m=-\frac{7}{3}$ .

We will substitute $m=-\frac{7}{3}$ and $x_1=14\\y_1=8$ .

$y-8=-\frac{7}{3} (x-14)$

This is the equation of the line perpendicular to the equation line through the points given that crosses through (14,8).

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3 years ago

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4 years ago

A line passes through the points (2, -2) and (-6.2), The point (a, -4) is also on the line. What is the value of a?

balu736 [363]

Answer:

It's is a negative one ( -1 )

Step-by-step explanation:

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