Question

Used given information to write an equation in slope intercept form slope of -9 goes through the point (2,-9)

Answer 1

To write the equation of a line in slope-intercept form, which is \( y = mx + b \), we need to identify the slope \( m \) and the y-intercept \( b \).

Given:
- Slope \( m = -9 \)
- Point \( (2, -9) \)

We can use the point-slope form of the equation of a line, which is:

\[
y - y_1 = m(x - x_1)
\]

Substituting the values we have:

\[
y - (-9) = -9(x - 2)
\]

This simplifies to:

\[
y + 9 = -9(x - 2)
\]
\[
y + 9 = -9x + 18
\]

Now, isolate \( y \) by subtracting 9 from both sides:

\[
y = -9x + 18 - 9
\]
\[
y = -9x + 9
\]

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

\[
y = -9x + 9
\]