A line contains the point (2,17) and has a slope of 3. What is the y-intercept

We are given:
- A point on the line: \( (2, 17) \),
- The slope of the line: \( m = 3 \).

The equation of a line in slope-intercept form is:

\[
y = mx + b
\]

Where:
- \( m \) is the slope,
- \( b \) is the y-intercept.

We can substitute the known values for \( x = 2 \), \( y = 17 \), and \( m = 3 \) into the equation to find \( b \) (the y-intercept).

### Step 1: Substitute the known values into the equation
\[
17 = 3(2) + b
\]
\[
17 = 6 + b
\]

### Step 2: Solve for \( b \)
\[
b = 17 - 6
\]
\[
b = 11
\]

Thus, the y-intercept is \( b = 11 \).

Would you like more details or have any questions?

Here are five related questions for more practice:
1. What is the equation of the line with a slope of 3 and a y-intercept of 11?
2. Find the y-intercept of a line passing through \( (4, 9) \) with a slope of 2.
3. What is the slope-intercept form of a line with a slope of \( -1 \) passing through \( (1, 5) \)?
4. Can you find the slope of a line passing through \( (3, 7) \) and \( (5, 13) \)?
5. If a line passes through \( (0, 10) \), what is its y-intercept?

**Tip:** When using the slope-intercept form, the point-s

A line contains the point (2,17) and has a slope of 3. What is the y-intercept?

Learn how to find the y-intercept of a line passing through the point (2, 17) with a slope of 3. This step-by-step solution covers key algebra concepts, including the slope-intercept form (y = mx + b), perfect for students in Grades 7-9.

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