Question

which of the following is a correct equation for the line passing through the point -3,2 and having a slope m=2/3 check all that apply

Answer 1

Answer:

2x-3y = =12

y= 2/3x + 4

y-2 = 2/3 (x+3)

Step-by-step explanation:

Answer 2

Slope-intercept form:

y = mx + b

"m" is the slope, "b" is the y-intercept (the y value when x = 0 or (0,y))

Since you know m = 2/3, plug it into the equation

y = 2/3x + b

To find "b", plug in the point into the equation (-3,2)

y = 2/3x + b

2 = 2/3(-3) + b

2 = -2 + b

4 = b

y = 2/3x + 4

Point-slope form:

y - y₁ = m(x - x₁)        

You know:

m = 2/3

(x₁ , y₁) = (-3,2)

Plug this into the equation:

y - y₁ = m(x - x₁)  

y - 2 = 2/3(x - (-3))

y - 2 = 2/3(x + 3)