Question

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

Answer 1

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 <===