MATH SOLVE

2 months ago

Q:
# complete the equation of the line through (2,-2) and (4,1).

Accepted Solution

A:

slope formula : (y2 - y1) / (x2 - x1)

(2,-2)....x1 = 2 and y1 = -2

(4,1)...x2 = 4 and y2 = 1

now we sub into the slope formula and solve for the slope

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

now we use y = mx + b

slope(m) = 3/2

use either of ur points....(4,1)...x = 4 and y = 1

now sub into y = mx + b formula 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 <==

(2,-2)....x1 = 2 and y1 = -2

(4,1)...x2 = 4 and y2 = 1

now we sub into the slope formula and solve for the slope

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

now we use y = mx + b

slope(m) = 3/2

use either of ur points....(4,1)...x = 4 and y = 1

now sub into y = mx + b formula 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 <==