SOLUTION: This is one Question A linearfucntion has a graph that runs through the points (0,32) and (100,212)What is the slope? what is the equation of the line in slope intercept form? w

Algebra ->  Graphs -> SOLUTION: This is one Question A linearfucntion has a graph that runs through the points (0,32) and (100,212)What is the slope? what is the equation of the line in slope intercept form? w      Log On


   

Question 314078: This is one Question
A linearfucntion has a graph that runs through the points (0,32) and (100,212)What is the slope? what is the equation of the line in slope intercept form?
what are the coordinates of the x intercept? and the y intercept? For an input value(x value) of 10, what is the output(y) value? Place the linear equation in standard form (x and yterms in the left member, constnat in the right, no fractions, Ax+By=C) graph and label all intercepts
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Find the slope.
m=%28y2-y1%29%2F%28x2-x1%29=%28212-32%29%2F%28100-0%29=180%2F100=9%2F5
y=mx%2Bb=%289%2F5%29x%2Bb
Use either point to solve for b.
(0,32)
32=%289%2F5%29%280%29%2Bb
b=32
.
.
y=%289%2F5%29x%2B32
.
.
To find the x-intercept, set y=0 and solve for x.
y=%289%2F5%29x%2B32
0=%289%2F5%29x%2B32
%289%2F5%29x=-32
x=-17.8
(-17.8,0)
.
.
.
To find the y-intercept, set x=0 and solve for y.
y=%289%2F5%29x%2B32
y=%289%2F5%29%280%29%2B32
y=32
(0,32)
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.
.
y=%289%2F5%29x%2B32
y=%289%2F5%29%2810%29%2B32
y=18%2B32=50
(10,50)
.
.
.
y=%289%2F5%29x%2B32
5y=9x%2B160
-9x%2B5y=160
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.