SOLUTION: Given the points (-4, 3) and (-3, 1): a) Find the slope of the line through the points. b) Write an equation in point-slope form of the line through the points.

Algebra ->  Statistics  -> Linear-regression -> SOLUTION: Given the points (-4, 3) and (-3, 1): a) Find the slope of the line through the points. b) Write an equation in point-slope form of the line through the points.       Log On


   

Question 1128057: Given the points (-4, 3) and (-3, 1):
a) Find the slope of the line through the points.



b) Write an equation in point-slope form of the line through the points.



c) Convert the equation to slope-intercept form.





d) Convert the equation to standard form, Ax + By = C, where A, B, and C are integers

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
Given the points (-4,+3) and (-3, 1):
a) Find the slope of the line through the points.

m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29...use (-4,+3) and (-3, 1)
m=%281-3%29%2F%28-3-%28-4%29%29
m=-2%2F%28-3%2B4%29
m=-2%2F1
m=-2


b) Write an equation in point-slope form of the line through the points.

y-y%5B1%5D=m%28x-x%5B1%5D%29........m=-2 and one point,(-3, 1)
y-1=-2%28x-%28-3%29%29
y-1=-2%28x%2B3%29
y-1=-2x-6



c) Convert the equation to slope-intercept form.
y-1=-2x-6
y-1%2B1=-2x-6%2B1
y=-2x-5
d) Convert the equation to standard form, Ax+%2B+By+=+C, where+A, B, and C are integers
y=-2x-5
2x%2By=-2x%2B2x-5
2x%2By=-5