Question

find the x-intercept and y-intercept of the line. -9x + 6y = 14 x-intercept: y-intercept:

Explanation:

Step1: Find x-intercept (set y=0)

Substitute \( y = 0 \) into \(-9x + 6y = 14\):
\(-9x + 6(0) = 14\)
\(-9x = 14\)
\( x = -\frac{14}{9} \)

Step2: Find y-intercept (set x=0)

Substitute \( x = 0 \) into \(-9x + 6y = 14\):
\(-9(0) + 6y = 14\)
\( 6y = 14 \)
\( y = \frac{14}{6} = \frac{7}{3} \)

Answer:

x-intercept: \(-\frac{14}{9}\)
y-intercept: \(\frac{7}{3}\)