Question

Type an equation for the

following pattern.
X
у
1
16/3
2.
14/3
[?]
x + [ ]
y =
3
4
4
10/3
5
8/3

Answer 1

y = -2/3 x + 6

Explanation:

Using the coordinates (1, 16/3) and (3,4)

Slope m = 4-16/3/3-1

Slope m = -4/3 * 1/2

Slope m = -2/3

For the y-intercept

Substitute (3,4) and m = -2/3 into y =mx+b

4 = -2/3(3) + b

4 = -2 + b

b = 4 + 2

b = 6

Get the required equaton;

Recall that y = mx+b

y = -2/3 x + 6