Question

find the x-intercept and y-intercept of the graph of the equation $2x - 7y = 14$. x-intercept: y-intercept:

Explanation:

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

Substitute \( y = 0 \) into \( 2x - 7y = 14 \):
\( 2x - 7(0) = 14 \)
\( 2x = 14 \)
\( x = \frac{14}{2} = 7 \)

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

Substitute \( x = 0 \) into \( 2x - 7y = 14 \):
\( 2(0) - 7y = 14 \)
\( -7y = 14 \)
\( y = \frac{14}{-7} = -2 \)

Answer:

x-intercept: \( 7 \)
y-intercept: \( -2 \)