Question

Determine the intercepts of the line.-3x - 4= -54 - 8Y-intercept: X-intercept:

Answer 1

Given the function

`-3x-4=-5y-8`

The x-intercept of a function is the value of x when y=0, to determine said value you have to replace that value of y in the formula and solve for x.

First write the expression in terms of x:

`\begin{gathered} -3x-4=-5y-8 \\ -3x=-5y-8+4 \\ -3x=-5y-4 \\ x=((-5y-4))/(-3) \end{gathered}`

Replace with y=0

`x=((-5\cdot0)-4)/(-3)=-(4)/(-3)=(4)/(3)`

The coordinates for the x-intercept of this function are (4/3, 0)

The y-intercept is the value of y when x=0

First write the formula in terms of y:

`\begin{gathered} -3x-4=-5y-8 \\ -3x-4+8=-5y \\ -3x+4=-5y \\ y=((-3x+4))/(-5) \end{gathered}`

Replace with x=0

`y=((-3\cdot0)+4)/(-5)=(4)/(-5)=-(4)/(5)`

The coordinates of the y-intercept for this function are: (0, -4/5)