What is the equation in slope- intercept form of a line with slope and y-intercept -7? 2 B) y = 3/2x - 7 C) y = 2/3x + 7 D) y = 2/3x - 7

1 answer

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

\[ y = mx + b \]

where \( m \) is the slope and \( b \) is the y-intercept.

Given:
- Slope (\( m \)) = \(\frac{2}{3}\)
- Y-intercept (\( b \)) = -7

Substituting these values into the slope-intercept form, we get:

\[ y = \frac{2}{3}x - 7 \]

So the correct equation is:

\[ y = \frac{2}{3}x - 7 \]

This corresponds to option D) y = \(\frac{2}{3}x - 7\).