Write an equation in slope intercept form that uses the point (1, -9) And uses the slope of seven

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

\[
y = mx + b
\]

Where:
- \( m \) is the slope.
- \( b \) is the y-intercept (the value of \( y \) when \( x = 0 \)).

Given:
- The slope \( m = 7 \).
- The point \( (1, -9) \), which means when \( x = 1 \), \( y = -9 \).

To find the equation, substitute the given values into the slope-intercept form:

\[
-9 = 7(1) + b
\]

Now, solve for \( b \):

\[
-9 = 7 + b
\]
\[
b = -9 - 7 = -16
\]

Thus, the equation of the line in slope-intercept form is:

\[
y = 7x - 16
\]

Would you like more details or have any questions?

Here are five related questions:
1. How do you find the slope from two given points?
2. What is the meaning of the y-intercept in a real-world scenario?
3. How do you convert a slope-intercept form equation to standard form?
4. How can you graph a line given its slope and a point?
5. How do parallel lines relate in terms of slope?

**Tip**: When the slope is positive, the line rises from left to right. When negative, it falls.

Write an equation in slope intercept form that uses the point (1, -9) and uses the slope of seven.

Learn how to write a linear equation in slope-intercept form using the slope of 7 and the point (1, -9). This solution walks through the steps to find the y-intercept and express the equation in the form y = 7x - 16. Ideal for Grades 8-10 students.

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