Question

What is the equation of a line that has a slope of 2 and passes through point (-6,3)?

Answer 1

The answer is

`\huge y = 2x + 15`

Explanation:

To find an equation of a line when given the slope and a point we use the formula

`y - y_1 = m(x - x_1)`

From the question we have

`y - 3 = 2(x + 6) \\ y - 3 = 2x + 12 \\ y = 2x + 12 + 3`

We have the final answer as

`y = 2x + 15`

Hope this helps you