Question

Find an equation of the line with the slope m= 3 that passes through the point (2,2). Write the equation in the form Ax+By = C.

Answer 1

Answer: 3x-1y=4 in Ax+By=C form

Step-by-step explanation:

the intercept form is y=3x-4

subracting 3x from both sides would get -3x+y=-4

distributing -(-3x+y=-4) would get 3x-y=4.

Answer 2

`y = 3x-4`

Explanation:

We know that if we were to write an equation with the slope of 3, it would be
`y=kx`, where k is the constant (in this case 3.)

So right now, we have
`y=3x`.

However, this will not pass through the point (2,2). To do this, we need to add a y-intercept in which (2,2) will be crossed through.

If we have a y-intercept of -4, the points will be:

(0, -4)

(1, -1)

(2, 2)

So our final equation is
`y = 3x-4`.

Hope this helped!