Question

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

Answer 1

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`