Detections for the last 2/3 : whirred the equation in point-slope form and slope-intercept form for each line me with them all

slope intercept form

y = mx + b

Find the slope

slope = (y₂ - y₁)/(x₂ - x₁)

let (-2, 5) = (x₁, y₁), and (3, 9) = (x₂, y₂)

Plug in the corresponding numbers to the variables.

slope = (9 - 5)/(3 - (-2))

Simplify

slope = 4/(3 + 2)

slope = 4/5

Plug in 4/5 for m

y = mx + b

y = (4/5)x + b

Solve for b. Plug in a coordinate for x and y: I am using (3,9) in this case

x = 3, y = 9

9 = (4/5)3 + b

Simplify

9 = 12/5 + b

Isolate the b. Note the equal sign. What you do to one side, you do to the other.

9 (-12/5) = 12/5 (-12/5) + b

9 - 12/5 = b

9 - 2 2/5 = b

b = 6 3/5 or 6.6

y = 4/5x + 6.6  is your slope intercept form

Point slope form: (y - y₁) = m(x - x₁)

(x, y) = (-2, 5), (x₁, y₁) = (3, 9)

Plug in the corresponding number to the corresponding variable

(5 - 9) = m(-2 - 3)

Simplify

-4 = m(-5)

Note the equal sign. What you do to one side, you do to the other. Isolate the m.

Divide -5 from both sides

(-4)/-5 = (-5m)/-5

-4/-5 = m

m = 4/5

you're slope = 4/5 (as seen in the equation above).

hope this helps