Question

find the x- and y-intercepts of the line represented by the equation $2x - 7y = 28$. enter the intercepts in the boxes.

Explanation:

Step1: Find x-intercept (y=0)

Substitute \( y = 0 \) into \( 2x - 7y = 28 \):
\( 2x - 7(0) = 28 \)
\( 2x = 28 \)
Divide by 2: \( x = \frac{28}{2} = 14 \).

Step2: Find y-intercept (x=0)

Substitute \( x = 0 \) into \( 2x - 7y = 28 \):
\( 2(0) - 7y = 28 \)
\( -7y = 28 \)
Divide by -7: \( y = \frac{28}{-7} = -4 \).

Answer:

\( x = 14 \), \( y = -4 \)