Question

The equation of line AB is y = 2x + 4. Write an equation of a line parallel to line AB in slope-intercept form that contains point (3, −2).

Answer 1

The rule for parallel lines is that they have equal slopes, which means the slope for the new line will also be 2x. To find the y-intercept, we can substitute the coordinate values into the equation and solve:
y = 2x + c
-2 = (3 × 2) + c
-2 = 6 + c
- 6
-8 = c

So your final equation is y = 2x - 8. I hope this helps!