What is the equation in point slope form of the line that passes through the point (−1, −3)

and has a slope of 4?

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

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
3 hours ago

The point-slope form of the equation of a line is given by the formula:

\[ y - y_1 = m(x - x_1) \]

where \( (x_1, y_1) \) is a point on the line and \( m \) is the slope.

In your case, the point is \( (-1, -3) \) and the slope \( m \) is 4.

Plugging these values into the formula:

\[ y - (-3) = 4(x - (-1)) \]

This simplifies to:

\[ y + 3 = 4(x + 1) \]

Thus, the correct equation in point-slope form is:

\[ y + 3 = 4(x + 1) \]

From the options you provided, the answer is:

y + 3 = 4 (x + 1).