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2 years ago

Is y=2x+3 a proportional relationship

Mathematics

2 answers:

Aleksandr [31]2 years ago

8 0

Yes, and here's why.

When y= 2x + 3 is spread apart and broken down it can be explained like this:

y= Total value (It almost always represents a total)

2x= Slope (For example 2 plates per min where x would represent the ratio)

3= This is the Y intercept (Where the X and Y axis meet. It is also known as initial value)

So if I make this into an equation it could be shown like this:

y= 2x + 3 (The slope is 2x and represents how many flower pots someone makes in a minute, and the 3 represents 3 pots that were already made before the person started recording the data).

This is a proportional relationship because the slope will always be 2.

Hope this helps and have a nice day.

-R3TR0 Z3R0

lisabon 2012 [21]2 years ago

4 0

answer:

no, it does not represent a proportional relationship because it has a y-intercept therefore it won’t go through the origin.

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what is the y-intercept of the line perpendicular to the line y=-3/4x+5 that includes the point (-3,-3)?

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Answer:

Step-by-step explanation:

For this question, your friend is the point-slope form.

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

The only variables you replace are m = slope, y1 = y of a given point, and x1 = x of a given point.

First, we need to find the slope that is perpendicular to the equation $y=-\frac{3}{4}x+5$

An equation that is perpendicular to another equation have to be negative reciprocals (negative inverse) of each other.

If the slope is 3, then the negative reciprocal of 3 is $-\frac{1}{3}$ .

So, since the given slope is -3/4, the negative reciprocal is $\frac{4}{3}$ .

We will use the negative reciprocal as m since we are trying to find the equation of line that includes (-3, -3) and is perpendicular to the other equation.

We will use point slope form using the (-3, -3) points and negative reciprocal as m.

$y-y_1 = m(x-x_1)\\y-(-3) = \frac{4}{3} (x-(-3))\\y+3=\frac{4}{3}(x+3)$

Now, we need to convert this into slope-intercept form. The reason why we need to do this is because y = mx + b, where b is the y-intercept. To do this, solve for y - or in other words, isolate y..

$y+3=\frac{4}{3}(x+3)\\y+3=\frac{4x}{3}+4\\y+3-3=\frac{4x}{3}+4-3\\y=\frac{4}{3}x+1$

The y-intercept of the line is 1.

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Answer:

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Answer:

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