Question

determine the intercepts of the line. do not round your answers. -7x - 6y = -15 y - intercept: (0,5/2) x - intercept: (15/7,0) your answer should be - an integer, like 6 - a simplified proper fraction, like 3/5 - a simplified improper fraction, like 7/4

Explanation:

Step1: Find y - intercept

Set \(x = 0\) in \(-7x-6y=-15\). We get \(-6y=-15\). Then \(y=\frac{-15}{-6}=\frac{5}{2}\).

Step2: Find x - intercept

Set \(y = 0\) in \(-7x-6y=-15\). We get \(-7x=-15\), so \(x = \frac{15}{7}\).

Answer:

y - intercept: \((0,\frac{5}{2})\)
x - intercept: \((\frac{15}{7},0)\)