Final answer:
To find the equation of line g parallel to line f, we can use the fact that parallel lines have the same slope. Plugging in the given point and slope into the point-slope form of a linear equation, we can solve for the equation of line g in slope-intercept form, which is y = 3x + 2.
Step-by-step explanation:
To find the equation of line g parallel to line f, we can use the fact that parallel lines have the same slope. Since line f has a slope of 3, line g will also have a slope of 3. We are given that line g includes the point (-1, -1), so we can use the point-slope form of a linear equation: y - y1 = m(x - x1). Plugging in the values, we get y - (-1) = 3(x - (-1)). Simplifying, we get y + 1 = 3(x + 1). Rearranging the equation into slope-intercept form, we have y = 3x + 3 - 1, or y = 3x + 2. Therefore, the equation of line g in slope-intercept form is y = 3x + 2.