Question

find the x- and y-intercepts of the graph of $-10x + y = 35$. state each answer as an integer or an improper fraction in simplest form.
answer attempt 1 out of 100
x-intercept:
y-intercept:

Explanation:

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

To find the x - intercept, we set \( y = 0 \) in the equation \( - 10x + y=35 \).
Substituting \( y = 0 \) into the equation gives us \( - 10x+0 = 35 \), which simplifies to \( - 10x=35 \).
To solve for \( x \), we divide both sides of the equation by \( - 10 \): \( x=\frac{35}{- 10}=-\frac{7}{2} \).

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

To find the y - intercept, we set \( x = 0 \) in the equation \( - 10x + y = 35 \).
Substituting \( x = 0 \) into the equation gives us \( - 10\times0 + y=35 \), which simplifies to \( y = 35 \).

Answer:

x - intercept: \(-\frac{7}{2}\)
y - intercept: \(35\)