SOLUTION: 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) (4,-2)

Algebra ->  Linear-equations -> SOLUTION: 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) (4,-2)       Log On


   

Question 92082: 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) (4,-2)

Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
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) (4,-2)
In order to find the equation of a line, you need a point and a slope. You don't have a slope, but you can find the slope between the two points using the point slope formula: highlight%28m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29%29, where m=slope and (x1,y1) and (x2,y2) are the given points.
(x1,y1)=(-1,3) and (x2,y2)=(4,-2)
m=%28-2-3%29%2F%284-%28-1%29%29
m=-5%2F5
m=-1
Now you have a point and a slope. You can find the equation of the line using the point slope formula: highlight%28y-y%5B1%5D=m%28x-x%5B1%5D%29%29, where m=slope and (x1,y1) is a given point.
m=-1 and (x1,y1)=(-1,3)
y-3=-1%28x-%28-1%29%29
y-3=-1%28x%2B1%29
Slope-intercept form is highlight%28y=mx%2Bb%29, where m=slope and (0,b)=y-intercept. Solve the equation for y.
y-3=-x-1
y-3%2B3=-x-1%2B3
y=-x%2B2
Happy Calculating!!!