Question

A line passes through the points (1,-6) and (4,3) What is the Y intercept of this line?

Answer 1

Answer: b=-9

Explanation:

To find the y-intercept of the line, we can use the points given to make an equation. To find the slope, you use the formula
`m=(y_2-y_1)/(x_2-x_1)`.

`m=(3-(-6))/(4-1) =(9)/(3) =3`

Now that we know the slope, we can fill in what we know and solve for y-intercept.

y=3x+b

We can plug in any point to solve for y-intercept.

3=3(4)+b [multiply]

3=12+b [subtract both sides by 12]

b=-9

Now, we know that the y-intercept is b=-9.