Question 67023
If you are graphing this by hand (no grahing calculator), the best way to proceed is to first replace the f(x) with y:
{{{y = -2x-5}}} then make what is called an input/output table.
You do this by assigning a numerical value to x (start with small values to make the calculations easier) then find the corresponding value of y.
For a linear function such as this, you need only two points to draw the line.
So, let's see how this goes!
{{{y = -2x-5}}} Substitute 0 for x and calculate the y.
{{{y = -2(0)-5}}}
{{{y = -5}}} So here's one point (0, -5) that you can graph on your graph paper once you have drawn the x-axis (horizontal line) and the y-axis (vertical line)
A second point can be found by letting x = 1.
{{{y = -2(1)-5}}}
{{{y = -2-5}}}
{{{y = -7}}} Here's the second point (1, -7)
Plot these two points on your coordinate graph and draw a straight line through them.
Here's what it should look like when you are done:
{{{graph(300,200,-5,5,-8,5,-2x-5)}}}