Question

Graph y equals 4 take away 3 / 5 x and identify the x intercept

Answer 1

Given:

`y=4-(3)/(5)x`

The x-intercept is the point where the line crosses the x-axis.

At x-intercept, the y-coordinate is always zero.

To find the x-intercept, set y=0 and solve for x.

Thus, we have:

`0=4-(3)/(5)x`

Multiply through by 5 to eliminate the fraction:

`\begin{gathered} 0(5)=4(5)-(3x)/(5)\ast5 \\ \\ 0=20-3x \end{gathered}`

Subtract 20 from both sides:

`\begin{gathered} 0-20=20-20-3x \\ \\ -20\text{ = -3x} \end{gathered}`

Divide both sides by -3:

`\begin{gathered} (-20)/(-3)=(-3x)/(-3) \\ \\ (20)/(3)=x \end{gathered}`

Therefore the x-intercept is:

`(20)/(3)`

ANSWER:

`(20)/(3)`