SOLUTION: What is the y-intercept of the line through (1,9) and (-6,0)? Is the answer 9? Please show your work, thank you.

Algebra ->  Linear-equations -> SOLUTION: What is the y-intercept of the line through (1,9) and (-6,0)? Is the answer 9? Please show your work, thank you.       Log On


   

Question 195125: What is the y-intercept of the line through (1,9) and (-6,0)? Is the answer 9? Please show your work, thank you.
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!


First, we get the slope, m

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

(1,9) and (-6,0)
m=%280-9%29%2F%28-6-1%29=-9%2F-7
red%28m=9%2F7%29

Thru point (1,9) via Slope-Intercept Form,system%28y=mx%2Bb%29
9=%289%2F7%29%281%29%2Bb
b=9-9%2F7=%2863-9%29%2F7=54%2F7,

Y-intercept, (0,54/7) or (0,7.7), Answer

It follows Line Eqn, y=%289%2F7%29x%2B54%2F7


As we see,


Thank you,
Jojo