Questions: Just output the content of the question, DO NOT output additional information or explanations.
Transcript text: Just output the content of the question, DO NOT output additional information or explanations.
Solution
Solution Steps
Step 1: Find two points on the line
Two points on the line are (0,1) and (-1,-2).
Step 2: Calculate the slope
The slope of the line is given by the formula:
$m = \frac{y_2 - y_1}{x_2 - x_1}$. Using the points (0,1) and (-1,-2), we have $m = \frac{1 - (-2)}{0 - (-1)} = \frac{3}{1} = 3$.
Step 3: Determine the y-intercept
The y-intercept is the point where the line crosses the y-axis. In this case, the y-intercept is 1.
Step 4: Write the equation in slope-intercept form
The slope-intercept form of a linear equation is $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept. Substituting the values we found, the equation of the line is $y = 3x + 1$.