11 answers
To express the equation \(Y - 6x = 5\) in a more standard form, you can solve for \(Y\):
Start with the original equation:
\[ Y - 6x = 5 \]
Add \(6x\) to both sides to isolate \(Y\):
\[ Y = 6x + 5 \]
Now, the equation is in slope-intercept form \(Y = mx + b\), where \(m = 6\) (the slope) and \(b = 5\) (the y-intercept).
If you need anything else (e.g., graphing, evaluating for specific values, etc.), let me know!
The equation \(y = 6x + 5\) represents a linear relationship between \(y\) and \(x\).
In this equation:
If you'd like to find the value of \(y\) for a specific \(x\), you can substitute that \(x\) value into the equation. For example:
If \(x = 0\): \[ y = 6(0) + 5 = 5 \]
If \(x = 1\): \[ y = 6(1) + 5 = 11 \]
If \(x = -1\): \[ y = 6(-1) + 5 = -1 \]
Feel free to specify a value for \(x\) if you'd like to see how it affects \(y\)!
To find the value of \(y\), we can use the equation:
\[ y = 6x + 5 \]
However, to provide a specific answer for \(y\), you'll need to provide a value for \(x\).
For example:
If you have a specific value of \(x\) in mind, please share it, and I can calculate \(y\) for you!
The equation \(y - 6x = 5\) can be rewritten in slope-intercept form, which has the format \(y = mx + b\), where \(m\) is the slope and \(b\) is the y-intercept.
To convert the equation to slope-intercept form, follow these steps:
Start with the original equation: \[ y - 6x = 5 \]
Add \(6x\) to both sides: \[ y = 6x + 5 \]
Now, in slope-intercept form, we have:
\[ y = 6x + 5 \]
If you would like to know what \(y\) equals for a specific value of \(x\), please provide that value!
To graph the equation \(x - y = 6\), we first need to convert it to slope-intercept form \(y = mx + b\).
Starting with the original equation:
\[ x - y = 6 \]
We can isolate \(y\) by following these steps:
Subtract \(x\) from both sides: \[ -y = -x + 6 \]
Multiply the entire equation by \(-1\) to make \(y\) positive: \[ y = x - 6 \]
Now, the equation is in slope-intercept form \(y = mx + b\), where:
To graph this equation, we can find several points by plugging in different values for \(x\):
When \(x = 0\): \[ y = 0 - 6 = -6 \quad \Rightarrow \quad (0, -6) \]
When \(x = 6\): \[ y = 6 - 6 = 0 \quad \Rightarrow \quad (6, 0) \]
When \(x = 2\): \[ y = 2 - 6 = -4 \quad \Rightarrow \quad (2, -4) \]
When \(x = -6\): \[ y = -6 - 6 = -12 \quad \Rightarrow \quad (-6, -12) \]
When \(x = -2\): \[ y = -2 - 6 = -8 \quad \Rightarrow \quad (-2, -8) \]
On a coordinate plane, plot these points and draw a straight line through them. The line represents the equation \(x - y = 6\).
If you need help with a specific plot or further details, feel free to ask!
A proportion is an equation that states that two ratios are equal. In other words, a proportion compares two fractions or two ratios to show that they are equivalent.
An example of a proportion can be seen with the ratios of two fractions:
\[ \frac{2}{3} = \frac{4}{6} \]
In this case, both fractions represent the same proportion because \(2 \times 6 = 12\) and \(3 \times 4 = 12\), confirming that the cross products are equal.
Let's take a more practical scenario:
If there are 3 apples for every 4 oranges, we can express this as a proportion:
\[ \frac{3}{4} = \frac{6}{8} \]
This means that if there are 6 apples, there would be 8 oranges to maintain the same ratio.
A proportion showcases the equality of two ratios or fractions, and it can be used in various applications such as solving problems involving scaling, recipes, maps, and more. If you have questions or would like to learn more about a specific aspect of proportions, feel free to ask!
