Answer:
y-intercept = 2
Step-by-step explanation:
If a line is parallel to another line, they share the same slope.
Therefore, the slope of the new line = 2
Using the slope-intercept equation: y = mx + b
where m is the slope and b is the y-intercept
The new line equation is: y = 2x + b
If the new line passes through point (3, 8), substitute x = 3 and y = 8 into y = 2x + b and solve for b:
8 = (2 x 3) + b
⇒ 8 = 6 + b
⇒ b = 2
So the new line equation is: y = 2x + 2
Therefore, the y-intercept of the line passing through (3,8) and parallel to y = 2x - 5 is 2
