Question

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

Answer 1

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 <==

Answer 2

Slope=-2-1/2-4 (m)
=-3/-2
=3/2x
Equation of a line; y=mx+b
1=3/2(4)+b
1=6+b
Subtract 6 from both sides
-5=b (value of y-intercept)
y=3/2x+(-5)