Question

Give the equation of the line that passes through the points (4,6) and (-2,3)

Answer 1

Answer:

D. y = 1/2x + 4

Step-by-step explanation:

Slope: (6-3)/(4--2) = 3/6 = 1/2

y = ½x + c

6 = ½(4) + c

6 = 2 + c

c = 4

y = ½x + 4

Answer 2

Answer:

y = 1/2x+4

Step-by-step explanation:

First we find the slope

m = (y2-y1)/(x2-x1)

    = (3-6)/(-2-4)

    = -3/-6

   =1/2

The equation of a line in slope intercept form is

y = mx+b  where m is the slope and b is the y intercept

y =1/2x+b

Substitute one of the point into the equation

6 = 1/2(4) +b

6 = 2+b

b=4

y = 1/2x+4