Question

How do you write an equation in slope intercept form given that the line passes through the point (2,7) and has a slope of 2?

Answer 1

`y = 2x + 3`

Explanation:

First, write the equation in point-slope form:

Since we are given a point and the slope, we can plug them into the equation:
`y - 7 = 2(x-2)`

Now write it in slope-intercept form:

`y - 7 = 2x - 4`

Add `color(blue)7` to both sides:
`y - 7 quadcolor(blue)(+quad7) = 2x - 4 quadcolor(blue)(+quad7)`

`y = 2x + 3`

As you can see, this matches the slope-intercept form.

Hope this helps!