SOLUTION: A line passes through the points (-10, -4) and (-1,2). What is the y-intercept of the line? a) (-4,0) b) (0, -4) c) (8/3, 0) d) (0, 8/3)

Algebra ->  Points-lines-and-rays -> SOLUTION: A line passes through the points (-10, -4) and (-1,2). What is the y-intercept of the line? a) (-4,0) b) (0, -4) c) (8/3, 0) d) (0, 8/3)       Log On


   

Question 713924: A line passes through the points (-10, -4) and (-1,2). What is the y-intercept of the line?
a) (-4,0)
b) (0, -4)
c) (8/3, 0)
d) (0, 8/3)
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Use the two given points to find the line, in any form.
Trying formula for slope, m=(2--4)/(-1--10), m=6/9, m=2/3.
Try now point-slope form. y-2=(2/3)(x-(-1)), y-2=%282%2F3%29%28x%2B1%29


Convert the equation to slope intercept form.
y-2=(2/3)(x+1)
y=(2/3)x+2/3+2
y=%282%2F3%29x%2B8%2F3


Read the value for the y intercept directly from the equation.
y=mx+b common general formula for slope-intercept form equation for a line, so b=?
..... 8%2F3