Question

What is the equation of the line m=6 that goes through the point (1,4)?

Answer 1

`y = 6x - 2`

Explanation:

If you are using the usual form for a straight line, `color(red)(y) = color(purple)(m) color(blue)(x) + b`, then `color(purple)(m)` is the slope of that line.

And we have a point, `(1,4)`, that we can plug in.

So we can say that:

`color(red)(4) = 6(color(blue)(1)) + b implies b = -2`

Thusly:

`y = 6x - 2`

So now, the important bit , we check that conclusion.

We take the point and observe that if `x = 1`, then:

`y = 6x - 2 = 6(1) - 2 =4`.