Which of the following are point-slope equations of the line going through (-4,-7) and (3, 2)? Check all that apply.
PLEASSSEEE HELP I’VE BEEN STUCK ON THIS FOR A COUPLE OF DAYS .. 15 points

The equations of the line are

y + 7 = (x + 4) ⇒ B

y - 2 = (x - 3) ⇒ E

Step-by-step explanation:

The point-slope form of the linear equation is

, where

∵ The line passes through points (-4, -7) and (3, 2)

∴ x1 = -4 and y1 = -7

∴ x2 = 3 and y2 = 2

→ Use the rule of the slope above to find it

∵

∴ The slope of the line is

→ Substitute the values of m and (x1, y1) in the form of the equation above

∵ y - -7 = (x - -4)

∴ y + 7 = (x + 4)

∴ The equation of the line is y + 7 = (x + 4)

→ Substitute the values of m and (x2, y2) in the form of the equation above

∵ y - 2 = (x - 3)

∴ The equation of the line is y - 2 = (x - 3)

→  Look at the answers to find the same equations

∴ Answers B and E have the same equations