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?

Question

27363 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-08-02T18:31:44

$y = 2x + 3$

First, write the equation in point-slope form:

enter image source here

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

$y - 7 = 2x - 4$

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!