Write an equation of a line in slope-intercept form with the given slope and *y*-intercept.

slope: −2-2, *y*-intercept: 7

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

\[
y = mx + b
\]

Where:
- \( m \) is the slope of the line.
- \( b \) is the \( y \)-intercept, the point where the line crosses the \( y \)-axis.

Given:
- Slope (\( m \)) = -2
- \( y \)-intercept (\( b \)) = 7

Substituting these values into the slope-intercept formula:

\[
y = -2x + 7
\]

This is the equation of the line in slope-intercept form.

Would you like to go over any part of this? Here are some related questions to expand on this concept:

1. How do you find the slope from two points on a line?
2. How do you convert slope-intercept form to standard form?
3. What does the slope of a line represent in a graph?
4. How do you graph a line given its slope-intercept form?
5. How does changing the \( y \)-intercept affect the graph of a line?

**Tip**: The slope tells you how steep the line is, and the sign of the slope indicates its direction.

Write an equation of a line in slope-intercept form with the given slope and y-intercept. Slope: -2, y-intercept: 7

Learn how to write the equation of a line with slope -2 and y-intercept 7 in slope-intercept form. This algebra problem covers essential concepts like the slope-intercept formula and is ideal for students in Grades 7-9.

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