Question

1

Find a point-slope form for the line with slope 1/5
and passing through the point (-4,-3).
The equation of the line in point-slope form is?

Answer 1

y + 3 = (1/5)(x + 4)

Explanation:

The point-slope form of a line is given as:

y - y₁ = m(x - x₁)

where (x₁, y₁) is a point on the line, and m is the slope of the line.

In this case, the slope (m) is 1/5, and the point (-4, -3) is on the line. So, you can use these values in the formula:

y - (-3) = (1/5)(x - (-4))

Simplify it:

y + 3 = (1/5)(x + 4)

This is the equation of the line in point-slope form.