# Finding equation of a line given two points.

• May 6th 2010, 11:33 AM
daniel323
Finding equation of a line given two points.
need help with this question If a line passes through the points (-2, -4) and (3, -1), the equation of the line is y + 4 = 3/5(x + _____).
• May 6th 2010, 11:43 AM
sid_178
Using slope point form:y-y1=m(x-x1)
where m=(y2-y1)/(x2-x1)
Equation of line is

5y+20=3x+6
=>y+4=3/5(x+2)

so the answer is 2 in the fill in the blanks .
• May 6th 2010, 11:44 AM
Dinkydoe
See it like this:

If \$\displaystyle f(x)= ax+b\$ is the line passing through the given points:

First we have: \$\displaystyle f(-2)= -2a+b=-4\$
\$\displaystyle f(3) = 3a+b = -1\$

From these 2 equations you can determine a,b
• May 6th 2010, 05:24 PM
mr fantastic
Quote:

Originally Posted by daniel323
need help with this question If a line passes through the points (-2, -4) and (3, -1), the equation of the line is y + 4 = 3/5(x + _____).

Duplicate post. See here: http://www.mathhelpforum.com/math-he...help-asap.html