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?

1 Answer
Aug 2, 2018

Answer:

#y = 2x + 3#

Explanation:

First, write the equation in point-slope form:

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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:
enter image source here

#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!