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)

Question

Responses

6
6

4
4

12
12

3

Answer 1

To rewrite the equation $y=\frac{23}{12}x+\frac{14}{12}$ in standard form (which is $Ax+By=C$ where A, B, and C are integers), we need to clear the fractions.

The current equation in slope-intercept form can also be expressed as:

$$12y=23x+14$$

To eliminate the fractions in $\frac{23}{12}$ and $\frac{14}{12}$, we can multiply the entire equation by 12.

Thus, multiplying the original equation by 12 gives:

$$12y=23x+14$$

or rearranging it gives:

$$-23x+12y=14$$

Therefore, the number Rahul can multiply the equation by to clear the fractions is 12.