Question

find the y - intercept and x - intercept of the line. 8x + 5y = - 9 y - intercept: x - intercept:

Explanation:

Step1: Find y - intercept

Set \(x = 0\) in the equation \(8x+5y=-9\).
\[8\times0 + 5y=-9\]
\[5y=-9\]
\[y=-\frac{9}{5}\]

Step2: Find x - intercept

Set \(y = 0\) in the equation \(8x + 5y=-9\).
\[8x+5\times0=-9\]
\[8x=-9\]
\[x =-\frac{9}{8}\]

Answer:

y - intercept: \(-\frac{9}{5}\)
x - intercept: \(-\frac{9}{8}\)