SOLUTION: please explain find the equation of line in standard form, given that it passes through (-4,1) and slope-3 thank you

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Question 355149: please explain
find the equation of line in standard form, given that it passes through (-4,1) and slope-3
thank you
Answer by nyc_function(2741) About Me  (Show Source):
You can put this solution on YOUR website!
We need to write the answer in the form Ax + By = C.

We are given the slope and one point. We can plug this data into the point-slope formula.

The point-slope formula: y - y1 + m(x - x1).

y - 1 = -3(x -(-4))

y - 1 = -3(x + 4)

y - 1 = -3x - 12

y = -3x -12 + 1

y = -3x - 11

The equation is now in the y-intercept form.

We need to change it to the form Ax + By = C. This is called the standard form of the equation of the line.

Simply add 3x to both sides and we are done.

3x + y = -11

Did you follow?