sketch the graph of each line

Question

How do I solve this please help....

 

y=-1/5x+4

*the whole equation is negative

Answer 1

Hi, Juliana.

     The slope is negative, so the line will be heading upward towards your left (2nd quadrant). 

                                  

                    slope intercept form:  y=mx +b, where "b" is the y-intercept and "m" is the slope

 

1.  Start by plotting the y-intercept point, which is at (0,4). Put a point there.  This is where the line intercepts the y-axis.

 

2.  Look at the slope of -1/5.  Start at the intercept point of (0,4).   Then drop straight, down one unit for the -1 in the numerator of the slope fraction.  Next, move 5 points horizontally, and place the point there.  Then just draw your line through the points.

3.  You can check this graph by entering the equation into the graphing mode (Y=) in your graphing calculator.

 

If you have further questions, just ask me.  If I have helped, please give me a thumbs up.

                                                   Susan C.