Final answer:
The equation of the line that passes through the point (3, -1) with a slope of 2 is y = 2x - 7.
Step-by-step explanation:
The equation of a line that passes through the point (3, -1) with a slope of 2 can be found using the slope-intercept form, y = mx + b. When we know the slope (m) and a specific point on the line, we can solve for the y-intercept (b). Given that the slope m = 2, and the line passes through the point (3, -1), we can substitute these values into the slope-intercept form to find b:
- Using the point (3, -1) means we set x = 3 and y = -1.
- Now the equation looks like -1 = 2(3) + b.
- Solving for b, we get b = -1 - 6 = -7.
Therefore, the equation of the line is y = 2x - 7.