Question

A) Rahul is presented with the equation of a line in slope-intercept form: y = 2/3x + 1/4. By what
number can he multiply the equation in order to clear the fractions and rewrite the equation in
standard form? (1 point

Answer 1

To clear the fractions in the equation \( y = \frac{2}{3}x + \frac{1}{4} \), we need to find a number that can be multiplied to each term in the equation to eliminate the denominators.

The two fractions present are \(\frac{2}{3}\) and \(\frac{1}{4}\). To eliminate these fractions, we can determine the least common multiple (LCM) of the denominators 3 and 4.

The LCM of 3 and 4 is 12. Therefore, we can multiply the entire equation by 12 to clear the fractions:

\[
12y = 12 \left(\frac{2}{3}x\right) + 12 \left(\frac{1}{4}\right)
\]

This results in:

\[
12y = 8x + 3
\]

So, Rahul can multiply the entire equation by **12** to clear the fractions and rewrite the equation in standard form.