If 1: Propertios of Linear
Quesuon 10, 2,1,23
Pait2012
WW scors: 17.87%, A.47 of 25 poins
inear Applications
Opoints 0 of 1
(a) Find the zere of the linear function and
(b) graph the function using the zero and y intercept.

(a) The zero is 3.
(Type a whole number.)
(b) Use the graphing tool to graph the linear equation. Use the intercepts when drawing the line.

Click to
enlarge
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Ask by Williams Gardner. in the United States

Mar 13,2025

Question

If 1: Propertios of Linear
Quesuon 10, 2,1,23
Pait2012
WW scors: 17.87%, A.47 of 25 poins
inear Applications
Opoints 0 of 1
(a) Find the zere of the linear function and
(b) graph the function using the zero and y intercept.

(a) The zero is 3.
(Type a whole number.)
(b) Use the graphing tool to graph the linear equation. Use the intercepts when drawing the line.

Click to
enlarge
grapi

Ask by Williams Gardner. in the United States

Mar 13,2025

UpStudy AI · Accepted Answer

**Step 1. Find the zero of the function**

The zero of a function is the $$ x $$-value when $$ g(x)=0 $$. We have:
$$
g(x) = -2x + 6
$$
Set $$ g(x) $$ equal to zero:
$$
-2x + 6 = 0
$$
Subtract $$ 6 $$ from both sides:
$$
-2x = -6
$$
Divide both sides by $$-2$$:
$$
x = 3
$$
Thus, the zero of the linear function is $$ 3 $$.

---

**Step 2. Find the $$ y $$-intercept**

The $$ y $$-intercept occurs when $$ x = 0 $$. Substitute $$ x = 0 $$ into $$ g(x) $$:
$$
g(0) = -2(0) + 6 = 6
$$
So, the $$ y $$-intercept is $$ 6 $$.

---

**Step 3. Graphing the function**

To graph the function $$ g(x) = -2x+6 $$, plot the following intercepts:
- $$ y $$-intercept: $$ (0, 6) $$
- Zero: $$ (3, 0) $$

Draw a straight line through these two points. This line represents the graph of the function.

---

**Summary**

- Zero of the function: $$ 3 $$
- $$ y $$-intercept: $$ 6 $$
- Graph: A straight line through $$ (0,6) $$ and $$ (3,0) $$.
**Zero of the function:** 3 **$$ y $$-intercept:** 6 **Graph:** A straight line passing through the points $$ (0,6) $$ and $$ (3,0) $$.

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