How do you write an equation of the line that a slope of #2# and passes through #(4, 9)#?

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Answer 1 · 2017-06-22T05:28:23

#y=2x+1#

When given the slope and and a point of the line, you can use point-slope form to find your linear equation.

#y-y_1=m(x-x_1)#

#m# is your slope and #(x_1,y_1)# is your point.

All you have to do is plug in the numbers and simplify the equation.

#y-9=2(x-4)#

#y-9=2x-8#

#y=2x+1#

And there's your answer!