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. the first one is (-1,3) and (4,-2)

Algebra.Com
Question 24897: Write the equation of the line passing through each of the given pairs of points. Write your result in slope-intercept form, where possible.
the first one is (-1,3) and (4,-2)
the second one is (2,-3) and (2,4)

Answer by Earlsdon(6294)   (Show Source): You can put this solution on YOUR website!
1) Write the equation of the line passing through the points: (-1, 3) and (4, -2)
First, find the slope m, using the slope formula:
where: (x1, y1) = (-1, 3) and (x2, y2) = (4, -2)



Now you can write, in slope-intercept form: :
Now you need to find the value of b, the y-intercept.
You do this by substituting the x- and y-values from either one of the two given points and solving for b. Let's use the second point (4, -2):
Simplify and solve for b.
Add 4 to both sides of the equation.
Now you have b you can write the final equation in slope-intercept form:

Here's the graph of this line:

You can follow this procedure on the second problem.

RELATED QUESTIONS

write the equation of the line passing through each of the given pairs of points. Write... (answered by stanbon)
Write the equation of the line passing through each of the given pairs of points. Write... (answered by tennislver116)
Write the equation of the line passing through each of the given pairs of points. Write... (answered by stanbon)
Write the equation of the line passing through each of the given pairs of points. Write... (answered by funmath)
Write the equation of the line passing through each of the given pairs of points. Write... (answered by checkley75)
write the equation of the line passing through each of the given pairs of points. Write... (answered by checkley75)
Write the equation of the line passing through each of the given pairs of points. Write... (answered by funmath)
Write the equation of the line passing through each of the given pairs of points. Write... (answered by scott8148)
Write the equation of the line passing through each of the given pairs of points. Write... (answered by jim_thompson5910)
write the equation of the line passing through each of the given pairs of points. Write... (answered by checkley77)