Find an equation of the line with the given​ y-intercept and slope m.
19​, mequals2


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

\[
y = mx + b
\]

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

In your case:
- The slope \(m = 2\),
- The y-intercept \(b = 19\).

Substituting these values into the slope-intercept equation:

\[
y = 2x + 19
\]

So, the equation of the line is:

\[
y = 2x + 19
\]

Would you like more details or have any questions? 

Here are 5 related questions you might explore:
1. How do you find the slope of a line given two points?
2. What is the equation of a line with slope \(m = 2\) and passing through a point \( (3, 7) \)?
3. How do you convert the slope-intercept form to standard form?
4. What is the significance of the y-intercept in real-world applications?
5. How can you determine the x-intercept of this line?

**Tip**: When given the slope and y-intercept, always use the slope-intercept form for quick line equations.

Find an equation of the line with the given​ y-intercept and slope m. 19​, m = 2

Learn how to find the equation of a line with a y-intercept of 19 and a slope of 2. Using the slope-intercept form y = mx + b, this example walks through the steps of creating a linear equation. Suitable for students in Grades 6-8.

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