# How do you graph #y>= -4x+3#?

##### 1 Answer

Feb 16, 2017

see explanation.

#### Explanation:

Begin by drawing the line with equation

#y=-4x+3# Using

#color(blue)"slope and y-intercept"#

#y=-4x+3" is in" color(blue)"slope-intercept form"#

#color(orange)"Reminder: " y=mx+b# where m represents the slope and b, the y-intercept.

#y=-4x+3" has "m=-4" and y-intercept "=+3# Plot the point (0 ,3) and from this point move 4 down and 1 right, mark the point. (1 ,-1) Repeat to obtain (2 ,-5)

Drawing a straight line through these 3 points gives the graph

#y=-4x+3#

#"Since " y>=-4x+3# then the region above this line , including the line is required.

graph{y>= -4x+3 [-10, 10, -5, 5]}