Question

Find an equation of the line passing through the point (4,3) with slope m=3

Answer 1

Use the formula y=mx+b in order to solve for b. Then, plug in known values.

y=3x−9

Answer 2

y=3x-9

Explanation:

Enough information is given to write the line's equation in point slope form:

`y-y_1=m(x-x_1)\\'m' - slope\\(x_1,y_1) - coordinate`

The slope is three and the point is (4,3).

Replace the equation with the given information:

m = 3

x1 = 4

y1 = 3

`y-3=3(x-4)`

We can also make the equation into a slope intercept equation:

`y-3=3(x-4)\\\rightarrow y-3=3x-12\\\rightarrow y-3+3=3x-12+3\\\boxed {y=3x-9}`

So, the equation would be
`y=3x-9`.

Brainilest Appreciated.