Shari takes violin lessons. The equation

288x – 4y = –192 relates y, the total cost of the

lessons, and x, the number of lessons. Shari

incorrectly states that the y-intercept is –192. why did shari think that -192 was the y-intercept?

Respuesta :

Answer:

if [tex]-192[/tex] is not divided by [tex]-4[/tex], then y - intercept becomes [tex]-192[/tex].

In such a situation, Shari thought that -192 was the y-intercept.

Step-by-step explanation:

Given: [tex]288x-4y=-192[/tex]

Solution:

Consider the equation:

[tex]288x-4y=-192[/tex]

To find y-intercept, put [tex]x=0[/tex]

[tex]288(0)-4y=-192\\-4y=-192\\y=\frac{-192}{-4}\\y=48[/tex]

In the second step [tex]-4y=-192[/tex],

if [tex]-192[/tex] is not divided by [tex]-4[/tex], then y - intercept becomes [tex]-192[/tex].

In such a situation, Shari thought that -192 was the y-intercept.

Q&A Education