Question

What is the y−coordinate of the y−intercept of the line that passes through the points (−4, −4) and (4, 8)?

Answer 1

it's blue

Answer 2

its blue?

Answer 3

Yes

Answer 4

what are you talking about?

Answer 5

Firstly find the slope:

\[Slope = \frac{y_2 - y_1}{x_2 - x_1} \implies \frac{12}{8} = \frac{3}{2}\]


Let y = mx + c

Put any of the point in this to find c:

Put y = -4 and x = -4

So:

\[-4 = \frac{3}{2}(-4) + c \implies c = -4 + 6 \implies \color{green}{c = 2}\]

So this is the y coordinate of y intercept..