Question

This table gives a few (x, y) pairs of a line in the coordinate plane. I y 16 44 24 64 32 84 What is the y-intercept of the line?

Answer 1

Answer: X=0 Y=4

Explanation:

Your welcome

Answer 2

First, we have to find the slope using the following formula

`m=(y_2-y_1)/(x_2-x_1)`

Where,

`\begin{gathered} x_1=16 \\ x_2=24 \\ y_1=44 \\ y_2=64 \end{gathered}`
`m=(64-44)/(24-16)=(20)/(8)=(10)/(4)=(5)/(2)`

Then, we use the point-slope formula to find the equation

`\begin{gathered} y-y_1=m(x-x_1) \\ y-44=(5)/(2)(x-16) \\ y=(5)/(2)x-(80)/(2)+44 \\ y=(5)/(2)x-40+44 \\ y=(5)/(2)x+4 \end{gathered}`Hence, the y-intercept is 4 because that's the independent term.