Answer:
See photo
Step-by-step explanation:
The line is in slope-intercept form which looks like y = mx + b.
"x" and "y" represent points on the line.
"m" is the slope (how steep the line is) and if the line goes up (+) or down (-).
"b" is the y-intercept, which is where the graph hits the y-axis.
Take information from the equation y=-2x+6. Use the slope and the y-intercept to graph to line.
m = -2 = [tex]-\frac{2}{1}[/tex] (Fraction form).
b = 6
Plot a point at the y-intercept on the y-axis
If the y-intercept is 6, so you plot the point at (0, 6). (The y-intercept occurs when x = 0).
Find another point
Count the number of rise and run from the y-intercept.
Remember the slope is [tex]\frac{rise}{run}[/tex]
Run is the number of squares moving right. Rise is the number of squares moving up (if positive) or down (if negative).
Since the slope is -2/1, move two squares down and one square to the right to find another point on the line.
Connect the points
You only need two points to make a line. If you want the line to be longer, you can extend it with a ruler.
Other formatting rules
Remember to add arrows at the ends of the x and y axis.
Also, add arrows to the ends of the the line that you graphed.
Most teachers ask you to label the line with the equation.
