Question

find the x- and y-intercepts of the line 4x - 2y = 5. write your answers as integers or as simplified proper or improper fractions, not as ordered pairs. x-intercept: y-intercept:

Explanation:

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

Set \( y = 0 \) in \( 4x - 2y = 5 \).
Equation becomes \( 4x - 2(0) = 5 \), so \( 4x = 5 \).
Solve for \( x \): \( x = \frac{5}{4} \).

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

Set \( x = 0 \) in \( 4x - 2y = 5 \).
Equation becomes \( 4(0) - 2y = 5 \), so \( -2y = 5 \).
Solve for \( y \): \( y = -\frac{5}{2} \).

Answer:

x-intercept: \(\frac{5}{4}\)
y-intercept: \(-\frac{5}{2}\)