Complete the equation of the line through (2, - 2) and (4, 1)

Step-by-step explanation:

first we find the slope using the slope formula : (y2 - y1) / (x2 - x1)

(2,-2) ... x = 2 and y = - 2

(4,1) ... x = 4 and y = 1

now sub

slope = (1 - (-2) / (4 - 2) = (1 + 2) / 2 = 3/2

y = mx + b

slope (m) = 3/2

(4,1) ... x = 4 and y = 1

now sub and find b, the y int

1 = 3/2 (4) + b

1 = 6 + b

1 - 6 = b

-5 = b

so ur equation is : y = 3/2x - 5 <===