Question

What is the equation in point slope form of the line that passes through the point (-1, -3) and has a slope of 4?

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

Answer 1

The equation in point-slope form of the line that passes through the point (-1, -3) and has a slope of 4 is y+3=4(x+1).

Step-by-step explanation:

The equation in point-slope form of the line that passes through the point (-1, -3) and has a slope of 4 is y+3=4(x+1).

The point-slope form of a linear equation is y - y1 = m(x - x1), where (x1, y1) is a point on the line, and m is the slope. In this case, the given point is (-1, -3) and the slope is 4.

Substituting these values into the point-slope form, we get y - (-3) = 4(x - (-1)), which simplifies to y+3=4(x+1).