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The linear function f(x)=x is graphed on a coordinate plane. The graph of a new line is formed by changing the slope of the original line to 5 and the y-intercept to 2. Describe the transformation between these two graphs and the new equation.

User RRUZ
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1 Answer

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The initial slope of the graph is one

Using the equation a straight line

Since this is a straight line graph

y = mx + c

m is the slope

c is the intercept

le y be g(x)

m = f(x)

g(x) = f(x) *x + c

our new slope is 5 and intercept = 2

g(x) = 5x + 2

from the new equation we can find one points

to find x let g(x) = 0

0 = 5x +2

-5x = 2

x = -2/5

to find g(x) let x = 0

g(x) = 5(0) +2

g(x) = 0+2

g(x) = 2

our new points is (-2/5, 2)

the new graph will be a neg

User Galigator
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