SOLUTION: Find an equation of the line containing the given pair of points. Express your answer in the form x=a, y=b, or y=mx+b. (0,0) and (5,3)

Algebra ->  Linear-equations -> SOLUTION: Find an equation of the line containing the given pair of points. Express your answer in the form x=a, y=b, or y=mx+b. (0,0) and (5,3)      Log On


   

Question 189763: Find an equation of the line containing the given pair of points. Express your answer in the form x=a, y=b, or y=mx+b. (0,0) and (5,3)
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!


Given points: (0,0) and (5,3)

Via Point-Slope Form, m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29

wheresystem%28x%5B1%5D=0%2Cx%5B2%5D=5%2Cy%5B1%5D=0%2Cy%5B2%5D=3%29

Then, m=%283-0%29%2F%285-0%29=3%2F5, Slope

Solving y-Intercept via Slope-Intercept Form y=mx+b:
Thru point (0,0,):

0=%283%2F5%29%280%29%2Bb
b=0, y-Intercept (0,0)

Thru point (5,3): (should be the same)

3=%283%2Fcross%285%29%29%28cross%285%29%29%2Bb
b=3-3=0


Therefore it follows via Slope-Intercept Form:

highlight%28y=%283%2F5%29x%29, Answer

Slope=3/5,

Thank you,
Jojo