Final answer:
The equation of the line with a slope of 2 that passes through the point (-3, -1) is y = 2x + 5, found using the slope-intercept form and solving for the y-intercept.
Step-by-step explanation:
To find an equation in slope-intercept form of a line with a given slope and that passes through a specific point, you can use the formula y = mx + b, where m is the slope and b is the y-intercept. In this case, with a slope of 2 and point A(-3, -1), you first use the slope-point formula to find b.
The equation starts as y = 2x + b. Substitute x and y with the coordinates of point A to find b: -1 = 2(-3) + b, which simplifies to -1 = -6 + b. Solving for b, we find that b = 5. The final slope-intercept form of the line is y = 2x + 5.