There is a line that includes the point (3, 3) and has a slope of 4. What is its equation in slope-intercept form?

Step-by-step explanation:

The equation in point-slope form with slpope of m and including point (x₁,y₁) is:

y - y₁ = m(x - x₁)

m = 4

(3, 3)  ⇒  x₁ = 3,  y₁ = 3

So:

y - 3 = 4(x - 3)     ←   the point-slope form

y - 3 = 4x - 12         {add 3 to both sides}

y = 4x - 9           ←  the slope-intercept form

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)