Question

find the x-intercept and y-intercept of the line. 2x - 5y = 6
x-intercept:
y-intercept:

Explanation:

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

Substitute \( y = 0 \) into \( 2x - 5y = 6 \):
\( 2x - 5(0) = 6 \)
\( 2x = 6 \)
\( x = \frac{6}{2} = 3 \)

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

Substitute \( x = 0 \) into \( 2x - 5y = 6 \):
\( 2(0) - 5y = 6 \)
\( -5y = 6 \)
\( y = \frac{6}{-5} = -\frac{6}{5} \)

Answer:

x-intercept: \( 3 \)
y-intercept: \( -\frac{6}{5} \)