Question

A line passes through the point (-2, -9) and has a slope of 4.

Write an equation in point-slope form for this line.

Answer 1

We can use the point-slope form of a linear equation to find the equation of the line.

The point-slope form is y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Using the given point (-2, -9) and slope 4, we can substitute these values into the equation:

y - (-9) = 4(x - (-2))

Simplifying, we get:

y + 9 = 4(x + 2)

So, the equation in point-slope form for this line is y + 9 = 4(x + 2).