Question

Mallory is designing a background print for a logo. She starts the design on a coordinate plane and creates parallel lines diagonally. The first line that she makes has a slope of 1/3 and crosses through the origin. If she wants the next line to cross the y-axis a 2, what would be the equation of the next parall I line?

a. y= 1/3 x+2
b. y=-3x+2
c. y=- 1/3 x+2
d. y=3x+2

Answer 1

The equation of the next parallel line is y = 1/3x + 2.

Step-by-step explanation:

To find the equation of the next parallel line, we need to calculate its slope. Since the lines are parallel, they will have the same slope. The first line has a slope of 1/3. The next line needs to cross the y-axis at 2, which means the y-intercept is 2. Therefore, the equation of the next parallel line is y = 1/3x + 2 (Option a).