SOLUTION: The values in the table below belong to a linear function. x y 3 7 5 13 10 28 a) What is the slope of the graph of the function? b) What is the y-intercept? c) Draw the grap

Algebra ->  Functions -> SOLUTION: The values in the table below belong to a linear function. x y 3 7 5 13 10 28 a) What is the slope of the graph of the function? b) What is the y-intercept? c) Draw the grap      Log On


   

Question 764830: The values in the table below belong to a linear function.
x y
3 7
5 13
10 28
a) What is the slope of the graph of the function?
b) What is the y-intercept?
c) Draw the graph of the function.
d) Write the equation of the function.
e) Make up a situation that fits the function
Answer by MathLover1(20855) About Me  (Show Source):
You can put this solution on YOUR website!
standard form of linear function is: y=mx%2Bb where m is a slope and b is y-intercept
x y
3 7
5 13
10 28
a) What is the slope of the graph of the function?
Solved by pluggable solver: Finding the slope


Slope of the line through the points (3, 7) and (5, 13)



m+=+%28y%5B2%5D+-+y%5B1%5D%29%2F%28x%5B2%5D+-+x%5B1%5D%29


m+=+%2813+-+7%29%2F%285+-+3%29


m+=+%286%29%2F%282%29


m+=+3



Answer: Slope is m+=+3



so, slope m=3
b) What is the y-intercept?
start with y=mx%2Bb and use given values from a table
x y
3 7 and slope m to find b
7=3%2A3%2Bb
7=9%2Bb
7-9=b
-2=b
so, the y-intercept is -2
c) Draw the graph of the function.
plot two points

and draw a line through

d) Write the equation of the function.
y=3x-2
e) Make up a situation that fits the function
y=3x-2 must be parallel to y=3x%2B1
+graph%28+600%2C+600%2C+-10%2C10%2C+-10%2C+10%2C+3x-2%2C+3x%2B1%29+