Questions: Write the equation of this line in slope-intercept form. Write your answer using integers, proper fractions, and improper fractions in simplest form.

Solution Steps

We can choose the points (-2, 1) and (0, -3).

The slope is given by the formula: $$m = \frac{y_2 - y_1}{x_2 - x_1}$$ Substituting the points (-2, 1) and (0, -3) into the formula, we get: $$m = \frac{-3 - 1}{0 - (-2)} = \frac{-4}{2} = -2$$

The y-intercept is the point where the line crosses the y-axis. In this case, the line crosses the y-axis at the point (0, -3), so the y-intercept is -3.

The slope-intercept form of a linear equation is given by: $$y = mx + b$$ where _m_ is the slope and _b_ is the y-intercept. In our case, the slope _m_ is -2 and the y-intercept _b_ is -3. Substituting these values into the equation, we get:

Final Answer