In the last part of Problem 3, you wrote an equation of the line shown below in point-slope form using the point (1, 4). Now use the point (-2, -3) to write an equation of the line.
To write an equation of the line using the point (-2, -3), we can use the point-slope form of an equation. The point-slope form 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.
We already have the slope of the line, which is -2. Now we can substitute the values of the point (-2, -3) into the point-slope form:
y - (-3) = -2(x - (-2))
y + 3 = -2(x + 2)
Expanding the equation, we have:
y + 3 = -2x - 4
Simplifying, we get:
y = -2x - 7
Therefore, the equation of the line using the point (-2, -3) is y = -2x - 7.