can anyone help me out, my brain cells have gone to the store to get some milk... i don’t think there coming back anytime soon

The equation in the point-slope form is y - 6 = (x - 3)

The equation in the slope-intercept form is y =   x + 4

Step-by-step explanation:

The point-slope form of the linear equation is y - y1 = m(x - x1), where

The slop-intercept form of the linear equation is y = m x + b, where

The slope of the equation in the form ax + by = c is m = , where

let us solve the question

∵ The line passes through the point (3, 6)

∴ x1 = 3 and y1 = 6

∵ The slope of the line equal the slope of the line 2x - 3y = 4

∴ a = 2 and b = -3

→ By using the third rule above

∴ m =

∴ m =

→ Substitute the values of m, x1, and x2 in the point-slope form above

∵ y - 6 = (x - 3)

∴ The equation in the point-slope form is y - 6 = (x - 3)

→ Substitute the value of m in the slope-intercept form above

∵ y =   x + b

∵ The line passes through the point (3, 6)

→ Substitute x by 3 and y by 6 to find b

∵ 6 =   (3) + b

∴ 6 = 2 + b

→ Subtract 2 from both sides

∴ 6 - 2 = 2 - 2 + b

∴ 4 = b

→ Substitute the value of b in the equation

∴ y =   x + 4

∴ The equation in the slope-intercept form is y =   x + 4

step-by-step explanation:

b

step-by-step explanation: