What is the equation in point-slope form of the line passing through (−2, 0) and (2, 8)?
Straight lines are important concepts that form an integral part of geometry. These lines can be represented in the cartesian plane using linear equations.
Answer: The equation in point-slope form of the line passing through (−2, 0) and (2, 8) is y = 2x + 4.
Let's understand the solution in detail.
We know that the standard equation for the point-slope form is y - y1 = m (x - x1), where m is the slope of the line.
We can find the slope using the slope formula.
Hence, slope m = (8 - 0) / [2 - (-2)] = 2
Now, we substitute x1 = -2 and y1 = 0
Hence, the equation is y - 0 = 2 [x - (-2)]
⇒ y = 2x + 4