Question

Given: 5 x+3 y=12Which of the following statements is not true?The function represents a linear equation.The y -intercept is 4The x -intercept is 2.4The y -intercept is 2.4

Answer 1

The y -intercept is 2.4

Step-by-step explanation:

Given the equation:

`5x+3y=12`

A linear function is of the form: y=mx+b where b is the y-intercept.

Expressing the equation in the form above, we have:

`\begin{gathered} 3y=-5x+12 \\ y=-(5)/(3)x+(12)/(3) \\ y=-(5)/(3)x+4 \end{gathered}`

• Clearly, the function represents a linear function.

,

• The y-intercept, b = 4

Therefore, the statement that is not true is that the y-intercept is 2.4.

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