Question

question find the x- and y-intercepts of the graph of -5x + y = 28. state each answer as an integer or an improper fraction in simplest form. answer attempt 1 out of 2 x-intercept: y-intercept:

Explanation:

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

To find the x - intercept, we set \( y = 0 \) in the equation \( - 5x + y=28 \). Substituting \( y = 0 \) into the equation gives us \( -5x+0 = 28 \), which simplifies to \( - 5x=28 \). To solve for \( x \), we divide both sides of the equation by \( - 5 \). So, \( x=\frac{28}{-5}=-\frac{28}{5} \).

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

To find the y - intercept, we set \( x = 0 \) in the equation \( -5x + y = 28 \). Substituting \( x = 0 \) into the equation gives us \( -5(0)+y=28 \), which simplifies to \( y = 28 \).

Answer:

x - intercept: \(-\frac{28}{5}\)
y - intercept: \(28\)