How do I find the equation of a line going through a certain point?

Answer 1

(y-y1)=m(x-x1) is the point slope formula.

replace m with the slope of the line, replace y1 with the y coordinate, and x1 with the x coordinate of your point. simplify.

Answer 2

In order to form an equation for a line you need to know the slope and at least one point on the line.

Answer 3

u need the values of (x,y) of that point given and the y intercept (the point where the line intersects the y axis) OR the values of a second point on the line (x2,y2) OR the slope of the line.

for example:
A line passes through point (2,4) and intersects the y-int at 9.
y=mx+b
4=m(2)+9
m= - 5/2
Equation of the line: y=(-5/2)x+9
A line passes through point (2,4) and has a slope of 2
y=mx+b
4=(2)(2) + b
b=0
Equation of the line: y=2x+0, y=2x
A line passes through point (2,4) and point (5,10)
SLOPE: m= (y2-y1) / (x2-x1)
(10-4)/(5-2)=
6/3=
2
y=mx+b
4=(2)(2)+b
....becomes the same answer as previous example
y=2x

Answer 4

an infinite number of lines pass through a certain point
you need two points to narrow it down to one line

Answer 5

y=mx+b

First, find the slope. To do this, take the (y2-y1)/(x2-x1). Remember, rise over run. This is m in the equation.

Then, find the y-intercept...this is b in the equation.

Answer 6

You look for it