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.
<pre><b>7)</b>  {{{highlight_green(matrix(5,3, y - 4, "=", (1/4)(x - 1), y - 4, "=", (1/4)x - 1/4, y, "=", (1/4)x - 1/4 + 4, y, "=", (1/4)x - 1/4 + 16/4, y, "=", (1/4)x + 15/4))}}}
<b>8)</b>  {{{highlight_green(system(matrix(1,3, y, "=", (1/4)x + 15/4), matrix(1,8, 4y, "=", x + 15, "--------", Multiplying, by, "LCD,", 4), matrix(1,3, x - 4y, "=", - 15)))}}}