How do you write an equation of a line that goes through (10, 6) with m=0?

1 Answer
smendyka
May 15, 2018

See a solution process below.

Explanation:

We can use the point-slope formula for write an equation for this line. The point-slope form of a linear equation is: #(y - color(blue)(y_1)) = color(red)(m)(x - color(blue)(x_1))#

Where #(color(blue)(x_1), color(blue)(y_1))# is a point on the line and #color(red)(m)# is the slope.

Substituting the values from the problem gives:

#(y - color(blue)(6)) = color(red)(0)(x - color(blue)(6))#

#y - color(blue)(6) = 0#

#y - color(blue)(6) + 6 = 0 + 6#

#y - 0 = 6#

#y = 6#

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