Question 69560
Write the equation of the line passing through each of the given pairs of points. Write your result in slope-intercept form, where possible.

(-1,3)and (4,-2)
In order to write the equation of a line, we need a point and a slope.  We have two points and no slope, therefore we need to find the slope between these two points.
We can find the slope between two points using the slope formula: {{{highlight(m=(y[2]-y[1])/(x[2]-x[1]))}}}, where m=slope, (x1,y1) and (x2,y2) are two given points.
(x1,y1)=(-1,3) and (x2,y2)=(4,-2)
{{{m=(-2-3)/(4-(-1))}}}
{{{m=-5/5}}}
{{{m=-1}}}
Now we have a slope and a point, so we can use the point slope formula to find the equation of the line:{{{highlight(y-y[1]=m(x-x[1]))}}}, where m=slope and (x1,y1) is a given point.
m=-1 and (x1,y1)=(-1,3)
{{{y-3=-1(x-(-1))}}}
{{{y-3=-(x+1)}}}
{{{y-3=-x-1}}}
{{{y-3+3=-x-1+3}}}
{{{highlight(y=-x+2)}}}
Happy Calculating!!!!