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:

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

Replace with y=0

$x=\frac{(-5\cdot0)-4}{-3}=-\frac{4}{-3}=\frac{4}{3}$

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:

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

Replace with x=0

$y=\frac{(-3\cdot0)+4}{-5}=\frac{4}{-5}=-\frac{4}{5}$

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