Question

Write the equation of the line in point-slope form given the following: Point: (3,-1), Slope: -4/3.

a) y + 1 = (-4/3)(x - 3)
b) y - 1 = (-4/3)(x + 3)
c) y - 3 = (-4/3)(x + 1)
d) y + 3 = (-4/3)(x - 1)

Answer 1

The equation of the line in point-slope form is y + 1 = -4/3(x - 3).

Step-by-step explanation:

The equation of the line in point-slope form can be written as:

y - y1 = m(x - x1)

where (x1, y1) represents the given point and m represents the slope.

Plugging in the given values:

• x1 = 3
• y1 = -1
• m = -4/3

We can substitute these values into the equation:

y - (-1) = -4/3(x - 3)

Simplifying:

y + 1 = -4/3(x - 3)

Therefore, the correct equation in point-slope form is y + 1 = -4/3(x - 3) (option A).