Questions on Algebra: Linear Algebra (NOT Linear Equations) answered by real tutors!

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Question 167430: y-8=3/4(x-2): y-8=3/4(x-2)
Answer by jojo14344(1030) About Me  (Show Source):
You can put this solution on YOUR website!
y-8=(3/4)(x-2) ---> This follows a Line equation in the format Slope-
Intercept form: y=mx+b
We'll see,
y-8=(3/4)(x-2) , distribute
y-8=(3/4)x-(6/4) ---> 6/4--> reduced ---> 3/2
y=(3/4)x-(3/2)-8
y=(3/4)x-(3-16)/2
y=(3/4)x-(13/2) ---> slope=3/4 and y-intercept @ -13/2
We'll check the points where the line passes the x & y coordinates:
f(x)=0:
y=-13/2
f(y)=0:
(3/4)x=13/2 ---> cross(3/4)x/cross(3/4)=(13/2)/(3/4)
x=(13/2)(4/3)=52/6
we'll see the graph
drawing(300,300,-5,15,-10,10,grid(1),graph(300,300,-5,15,-10,10,(3/4)x-13/2), circle(52/6,0,.20),circle(0,-13/2,.20)) ---> Line passes thru points 52/6 @ x-axis and -13/2 @ y axis.
Thank you,
Jojo