Question

Х
у
-2
3
2
-9
6
-21
10
-33

Answer 1

☆Answer :

• (-2, 3) and (2, -9)

m = (-9 - 3)/(2 + 2) = -12/4 = -3 ==> (x)

3 = (-3)•(-2) + b

3 = 3•2 + b

3 = 6 + b

b = -3 ==> (a)

Soo :

• y = -3x - 3

Answer 2

• y = - 3x - 3

Explanation:

Given table:

• x | -2, 2, 6, 10
• y | 3, -9, -21, -33

Use two pairs of points to work out the equation of the line y = mx + b:

• (-2, 3) and (2, - 9)

Find the slope:

• m = (-9 - 3)/(2 - (-2)) = - 12/4 = - 3

Use one pair to find the y-intercept:

• 3 = - 3*(-2) + b
• 3 = 6 + b
• b = 3 - 6
• b = - 3

The line is:

• y = - 3x - 3