Algebra Help
What is the equation of the line that has a slope of 3 and goes through point (4, 7)?

Question

Algebra Help 
What is the equation of the line that has a slope of 3 and goes through point (4, 7)?

whpalmer4 · Answer

Okay, there's a formula you should know called point-slope form.

For a line with slope $m$ going through a point $(x_0,y_0)$:
$$y-y_0 =m(x-x_0)$$

anonymous · Answer

I know the formula but need help solving

whpalmer4 · Answer

to be a bit pedantic, there are an infinite number of equations that have that slope and go through that point :-)

For example, if $$y = 3x$$is the equation (it isn't), then $$y+1 = 3x+1$$$$y+0.5=3x+0.5$$$$y-3x=0$$$$-3x=-y$$etc. are all equations that go through the same points with the same slope.

whpalmer4 · Answer

Okay, you have $x_0 = 4, y_0 = 7, m = 3$ plug them into the formula, what do you get?

whpalmer4 · Answer

I'll do the left hand side:

$$y-y_0 = m(x-x_0)$$$$y-7 = m(x-x_0)$$Now you do the rest

anonymous · Answer

I'm Lost

whpalmer4 · Answer

Copy "$y-7 = m(x-x_0)$" on to your paper.  As you write, if you encounter an $m$, replace it with "3".  If you encounter an $x_0$, replace it with "4".  What do you get?