SOLUTION: This is a question from a class homework assignment. Given a line containing the points (1,3), (2,4), (3,5) determine the slope-intercept form of the equation, give one addition

Algebra ->  College  -> Linear Algebra -> SOLUTION: This is a question from a class homework assignment. Given a line containing the points (1,3), (2,4), (3,5) determine the slope-intercept form of the equation, give one addition      Log On


   



Question 80816: This is a question from a class homework assignment.
Given a line containing the points (1,3), (2,4), (3,5) determine the slope-intercept form of the equation, give one additional point on this line and graph function.
Equation of line in slope-intercept form:
show your work:
Give one additional point in (x,y) form that would fall on this line:
Graph the function:

Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
Given a line containing the points (1,3), (2,4), (3,5) determine the slope-intercept form of the equation, give one additional point on this line and graph function.
Equation of line in slope-intercept form:
show your work:
Use the slope formula to find the slope of the line:
m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29 (x1,y1)=(1,3) (x2,y2)=(2,4)
m=%284-3%29%2F%282-1%29
m=1%2F1
m=1
Use the point slope formula to find the equation of the line:
y-y%5B1%5D=m%28x-x%5B1%5D%29 m=1 (x1,y1)=(1,3)
y-3=1%28x-1%29
y-3=x-1
y-3%2B3=x-1%2B3
y=x%2B2
Check to make sure that the third point (3,5) is part of the line.
5=%283%29%2B2
5=5
Ok, so all three points are colinear and the equation of their line is:
highlight%28y=x%2B2%29
Give one additional point in (x,y) form that would fall on this line:
Let x be anything, 0 hasn't been used yet.
y=0%2B2
y=2
Another point on the line would be: (0,2)
Graph the function:
Plot the points and connect them and you'll have the following line:
graph%28300%2C200%2C-10%2C10%2C-10%2C10%2Cx%2B2%29
Happy Calculating!!!!