Use point-slope form to write the equation of a line that passes through the point (14,-14) with slope 4

Answer 1

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

Using the given point (14, -14) and slope 4, we can substitute these values into the point-slope form to find the equation of the line:

y - (-14) = 4(x - 14)

Simplifying:

y + 14 = 4x - 56

Now, we can rearrange this equation to get it in a more standard form:

4x - y = 70

Therefore, the equation of the line that passes through the point (14, -14) with slope 4 is 4x - y = 70.