How do you graph the line #y = 1/3x -2#?

Question

Eva Abramson · Accepted Answer

#"see explanation"# #"The equation of a line in "color(blue)"slope-intercept form"# is. #• y=mx+b" where m represents the slope and"# #color(white)(xxxx)"b, the y-intercept."# #y=1/3x-2" is in this form."# #rArr"slope " =1/3" and y-intercept" =-2# #"plot the point " (0,-2)# #"using the slope, from -2 go up 1, across 3 to the right and"# #"mark the point, that is (3,-1). Repeat for another point."# #"and draw a straight line through the points"# graph{1/3x-2 [-10, 10, -5, 5]}

Ethan Adkins · Answer

undefined To graph the line $ y = \frac{1}{3}x - 2 $, you can start by plotting the y-intercept at -2 on the y-axis. Then, use the slope $ \frac{1}{3} $ to find another point. Since the slope is the coefficient of x, you can interpret it as "rise over run." So, from the y-intercept, you would go up 1 unit and right 3 units to find the next point. Connect the two points with a straight line to graph the equation.