Which points lie on the line y= -1/2x +4? A) (-2,5) and (2,3)
B) (0,6) and (1,4)
C) (-2,5) and (4,3)
D) (-2,3) and (0,2)

Which answer choice is the equation of a line that passes through the points (1.-3) and (-1,3)? A) y = -1/3
B) -3y = x + 1
C) y = 3x
4) 3x + y = 0

Question #1

first, you need to find the slope. Use the formula: m=(y₂-y₁)/(X₂-X₁). Plug in x and y values. once you have found the slope, use point-slope form;

(y-y₁)=m(x-x₁). Again, plug in x and y values. Simplify the equation. Do that with the coordinate pairs, to see which one matches y=-1/2x+4. The answer though is A, (-2,5) and (2,3).

Question #2

Do the same thing, find the slope using the formula, and then use point-slope form. After that, find the matching equation and that's the answer. I am confused though because the right equation would be , but that's not one of the answers.

1. 22

2. 1

3. 7

4. 18

step-by-step explanation

e2020 got it right

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)