Question

O GRAPHS AND FUNCTIONSGraphing a function of the form f(x) = ax + b: Integer slopeGraph the function h(x) = -5x +3.

Answer 1

Graphs of linear functions

Since we are graphing a line, if we have two points we can plot the whole line

We evaluate the line in two points in order to locate two places where it passes through. We say y = h(x)

1. If x = 0 then

h(x) = - 5(0) +3

= 0 + 3

= 3

Then y = 3

2. If x = 2 then

h(x) = - 5(2) +3

= -10 + 3

= -7

Then y = -7

Now, we have two points: (0, 3) and (2, -7)

We locate them and then we plot the only straight line that passes through both points