Question 1140453: I'm kinda lost on how to get my b for number 7, I know it's where it intercepts y but how do I get that from what I'm given. and I'm lost on number 8 as well.
5) Find the slope of the line through the points (1, 4) and (5, 5).
m = (y2 - y1)/(x2 - x1)
m = (5 - 4)/(5-1)
m = 1/4
6) Write in point-slope form, , the equation of the line through the two points given in #5.
(y - y1)=m(x - x1)
y - 4 = (1/4)(x - 1)
7) Convert the equation that you wrote in #6 to slope-intercept form, .
y =(1/4)x+?
8) Convert the equation that you wrote in #6 to standard form, , where A, B, and C are integers and A > 0.
Found 3 solutions by rothauserc, MathTherapy, Alan3354:
Answer by rothauserc(4718)   (Show Source):
You can put this solution on YOUR website! y - 4 = (1/4)(x - 1)
:
7) y - 4 = x/4 - 1/4
:
***************
y = x/4 + 15/4
:
b = 15/4
***************
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8) standard form for the line is
:
Ax + By = C
:
y - 4 = (1/4)(x - 1)
:
y - 4 = x/4 - 1/4
:
multiply both sides of = by 4
:
4y - 16 = x - 1
:
***********
x -4y = -15
***********
:
Answer by MathTherapy(10552)  (Show Source):
You can put this solution on YOUR website!
I'm kinda lost on how to get my b for number 7, I know it's where it intercepts y but how do I get that from what I'm given. and I'm lost on number 8 as well.
5) Find the slope of the line through the points (1, 4) and (5, 5).
m = (y2 - y1)/(x2 - x1)
m = (5 - 4)/(5-1)
m = 1/4
6) Write in point-slope form, , the equation of the line through the two points given in #5.
(y - y1)=m(x - x1)
y - 4 = (1/4)(x - 1)
7) Convert the equation that you wrote in #6 to slope-intercept form, .
y =(1/4)x+?
8) Convert the equation that you wrote in #6 to standard form, , where A, B, and C are integers and A > 0.
7) 
8) 
Answer by Alan3354(69443)  (Show Source):
You can put this solution on YOUR website! I'm kinda lost on how to get my b for number 7, I know it's where it intercepts y but how do I get that from what I'm given. and I'm lost on number 8 as well.
5) Find the slope of the line through the points (1, 4) and (5, 5).
m = (y2 - y1)/(x2 - x1)
m = (5 - 4)/(5-1)
m = 1/4
6) Write in point-slope form, , the equation of the line through the two points given in #5.
(y - y1)=m(x - x1)
y - 4 = (1/4)(x - 1)
========================
7) Convert the equation that you wrote in #6 to slope-intercept form, .
y =(1/4)x+?
---
y = (1/4)x - (1/4) + 4
y = (1/4)x + 15/4
--------
8) Convert the equation that you wrote in #6 to standard form, , where A, B, and C are integers and A > 0.
4y = x + 15
x - 4y + 15 = 0
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