A line passes through the point (10,2) and has a slope of 1/2. Write an equation in slope-intercept form for this line.

Step-by-step explanation:

y - 2 = 1/2(x - 10)

y - 2 = 1/2x - 5

y = 1/2x - 3

Step-by-step explanation:

You can read the slope right away.

y = 0.5x + b     1/2 = 0.5

The point will determine the y intercept

2 = 0.5*10 + b

2 = 5 + b

2-5 = b

b = - 3

The line is y = 0.5x - 3

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)