Question

Rahul is presented with the equation of a line in slope-intercept form: y=23x+14 . By what number can he multiply the equation in order to clear the fractions and rewrite the equation in standard form?(1 point)
Responses

3
3

6
6

4
4

12

Answer 1

To determine by what number Rahul can multiply the equation \( y = \frac{23}{3}x + 14 \) in order to clear the fractions and rewrite it in standard form, we first notice that the term \( \frac{23}{3} \) has a denominator of 3.

To eliminate the fraction, he should multiply the entire equation by the least common multiple (LCM) of the denominators present. In this case, multiply by 3:

1. Multiply both sides of the equation by 3:

\[
3y = 23x + 42
\]

This clears the fraction from the slope.

Thus, the answer is **3**.