Question

Write an equation in slope intercept form for a line that passes through the point (1,6) and a slope of 2

Answer 1

The answer is

y = 2x + 4

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) \\`

where

m is the slope

( x1 , y1) is the point

From the question the point is (1,6) and slope 2

The equation of the line is

`y - 6 = 2(x - 1) \\ y - 6 = 2x - 2 \\ y = 2x - 2 + 6`

We have the final answer as

y = 2x + 4

Hope this helps you