Question

estimate the intercepts of the graph of the function.
$y = \frac{1}{3}x + 1$
○ x-intercept: about $-3$ , y-intercept: about 1
○ x-intercept: about $-1$ , y-intercept: about 3
○ x-intercept: about 1 , y-intercept: about $-3$
○ x-intercept: about 3 , y-intercept: about $-1$

Explanation:

Step1: Find y-intercept (x=0)

Substitute $x=0$ into $y=\frac{1}{3}x + 1$:
$y=\frac{1}{3}(0) + 1 = 1$

Step2: Find x-intercept (y=0)

Set $y=0$, solve for $x$:
$0=\frac{1}{3}x + 1$
$\frac{1}{3}x = -1$
$x = -3$

Answer:

x-intercept: about $-3$, y-intercept: about $1$