What is the equation in point-slope form of the line passing through (-2, -5) and (2, 3)?

Solution:

The slope of a line is nothing but the change in y coordinate with respect to the change in x coordinate of that line

The slope of a line which passess through (-2, -5) and (2, 3) can be found using the formula

m = (y₂ - y₁)/ (x₂ - x₁)

Substituting the values, we get

m = (3 + 5)/(2 + 2)

m = 8/4

m = 2

The point-slope form is y - y₁ = m(x - x₁)

Where m is the slope, (x₁, y₁) is a point on the line

So the line passing through (-2, -5) is y + 5 = 2(x + 2)

Therefore, the equation in point-slope form is y + 5 = 2(x + 2).

What is the equation in point-slope form of the line passing through (-2, -5) and (2, 3)?

Summary:

The equation in point-slope form of the line passing through (-2, -5) and (2, 3) is y + 5 = 2(x + 2).