Question

Find the equation of the line that is parallel to the line y = 2x – 2 and passes through the point (5, -1). Write the equation in point- slope form.​

Answer 1

We know that:

• Equation of parallel line: y = 2x - 2

Since the parallel line has a slope of 2, the equation of the original line will also have a slope of 2. Now, let's use point-slope form to find the equation.

• y - y₁ = m(x - x₁)
• y - (-1) = 2(x - 5)
• y + 1 = 2(x - 5)

Thus, the equation of the line in point slope form is y + 1 = 2(x - 5).