Question

Write the slope-intercept form of the equation that passes through the point (0, 1) and is parallel to the line y = 3x - 5 a. y = 3x + 1 b. y = 3x - 4 c. y = -1/3x - 4 d. y = -1/3x + 1

Answer 1

y = 3x + 1

Explanation:

This new line is parallel to y = 3x - 5 and thus has the same slope (3).

Adapting the point-slope formula y = mx + b to this situation, we use m = 3 and substitute 0 for x and 1 for y:

1 = 3(0) + b

Therefore, b = 1, and the desired equation is

y = 3x + 1