Question

Write the slope-intercept form of the equation of the line through the point (1,-3) with a slope of 2.

Answer 1

The answer is

`\huge y = 2x - 5`

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 - 1) \\ y + 3 = 2x - 2 \\ y = 2x - 2 - 3`

We have the final answer as

`y = 2x - 5`

Hope this helps you