SOLUTION: A line passes through the points(-10,-4) and (-1,2). What is the slope of the line that passes through the two points? A line passes through the points(-10,-4) and(-1,2). What

Algebra ->  Graphs -> SOLUTION: A line passes through the points(-10,-4) and (-1,2). What is the slope of the line that passes through the two points? A line passes through the points(-10,-4) and(-1,2). What       Log On


   



Question 867674: A line passes through the points(-10,-4) and (-1,2).
What is the slope of the line that passes through the two points?
A line passes through the points(-10,-4) and(-1,2).
What is the y-intercept of the line?

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
A line passes through the points(-10,-4) and (-1,2).
What is the slope of the line that passes through the two points?
slope=∆y/∆x=(2-(-4))/(-1-(-10))=6/9=2/3
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A line passes through the points(-10,-4) and(-1,2).
What is the y-intercept of the line?
Equation of line: y=mx+b, m=slope, b=y-intercept
For given points:
equation: y=2x/3+b
solve for b using coordinates of one of the points(-1,2)
2=2*(-1)/3)+b
b=2+2/3=8/3
Equation of the line:y=2x/3+8/3
y-intercept of the line=8/3