Question
How to find the slope of the line 4x - 3y = 7
Answers
GPT-4o mini
To find the slope of the line given by the equation \(4x - 3y = 7\), you can rearrange the equation into slope-intercept form, which is \(y = mx + b\), where \(m\) is the slope.
Starting with the equation:
\[
4x - 3y = 7
\]
First, isolate \(y\) by moving \(4x\) to the other side:
\[
-3y = -4x + 7
\]
Next, divide each term by \(-3\) to solve for \(y\):
\[
y = \frac{4}{3}x - \frac{7}{3}
\]
Now, in the equation \(y = \frac{4}{3}x - \frac{7}{3}\), you can see that the slope \(m\) is:
\[
\frac{4}{3}
\]
Therefore, the slope of the line \(4x - 3y = 7\) is \(\frac{4}{3}\).
Starting with the equation:
\[
4x - 3y = 7
\]
First, isolate \(y\) by moving \(4x\) to the other side:
\[
-3y = -4x + 7
\]
Next, divide each term by \(-3\) to solve for \(y\):
\[
y = \frac{4}{3}x - \frac{7}{3}
\]
Now, in the equation \(y = \frac{4}{3}x - \frac{7}{3}\), you can see that the slope \(m\) is:
\[
\frac{4}{3}
\]
Therefore, the slope of the line \(4x - 3y = 7\) is \(\frac{4}{3}\).