A line is drawn through the points $(-2, 6)$ and $(-4, -2)$. What is the $y$-coordinate of the point where this line intersects the $y$-axis?

This line intersects the y-axis at

Step-by-step explanation:

The equation of a line has the following format:

In which m is the slope and b is the y-intercept(point where the line intersects the y-axis).

To find the slope, we take two points, and the slope is given by the change in y divided by the change in x.

In this question:

Points (-2,6) and (-4,-2). So

Change in y: -2 - 6 = -8

Change in x: -4 -(-2) = -4 + 2 = -2

Slope:

So

Now, we take a point, and find b.

Point (-2,6), which means that when . So

So this line intersects the y-axis at

answer: the answer is c.

step-by-step explanation:

she’s dividing 1/3 of the flour into 2 jars.

hope this : )

the ratio of white tiles to blue tiles is 48: 16. the ratio in it's simplest form is 3: 1.

step-by-step explanation:

ratio: take the first number and add a colon next to it, then add the second number after that. make sure the ratio order matches up with the written problem!

simplest form: we can simplify the ratio 48 : 16 by dividing both terms by the greatest common factor (gcf).

the gcf of 48 and 16 is 16.

divide both terms by 16:

48 ÷ 16 = 3

16 ÷ 16 = 1

reducing to simplest form:

48 : 16 = 3 : 1