SOLUTION: Determine the y-intercept of each of the following lines. Express your answer as a coordinate pair (x,y). (a) The line passes through the points (0,7) and (3,0) (b) The line

Algebra ->  Finance -> SOLUTION: Determine the y-intercept of each of the following lines. Express your answer as a coordinate pair (x,y). (a) The line passes through the points (0,7) and (3,0) (b) The line       Log On


   

Question 1119484: Determine the y-intercept of each of the following lines. Express your answer as a coordinate pair (x,y).
(a) The line passes through the points (0,7) and (3,0)
(b) The line given by the equation 3x-5y=15
(c) The line given by the equation y-4=3(x-9)
(d) The line that passes through the points (-2,-5) and (2,5)
(e) The line passing through the point (2,3) that is parallel to the line x+2y=-11
Answer by josgarithmetic(39838) About Me  (Show Source):
You can put this solution on YOUR website!
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(a) The line passes through the points (0,7) and (3,0)
(b) The line given by the equation 3x-5y=15
(c) The line given by the equation y-4=3(x-9)
(d) The line that passes through the points (-2,-5) and (2,5)
(e) The line passing through the point (2,3) that is parallel to the line x+2y=-11
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(a)
The y-intercept is obviously given, y=mx+b, b=7.

(b) and (c)
If you can start from Ax+By=C and solve for y in terms of x, then you can adjust into slope-intercept form and identify the y intercept.
By=-Ax%2BC
y=-%28A%2FB%29x%2BC%2FB
which is slope intercept form.
b=C%2FB.

(e)
You are looking for the equation x%2B2y=2%2B2%2A3 and if you understood (b) and (c) exercise items, then you can figure how what to do to finish.